Hcf and lcm questions answers mcq quantitative aptitude. Easiest way to work out the lcm and hcf of two, three or more numbers using the same calculation. Find a pair of numbers which have the hcf and lcm indicated not including the numbers given. Here 20 is the least common multiple of 2, 4, 5, and 10. A number is said to be a factor of another number it divides the other number exactly. The lowest common multiple lcm, or least common multiple, is the smallest number that both numbers divide into exactly. Dear readers, we provide you lcm and hcf questions pdf ssc chsl you all know that speed in calculation sets the complete base for quantitative aptitude section lcm and hcf questions pdf ssc chsl of various competitive exams. Aptitude hcf and lcm if a number p divides another number q exactly, we say that p is a factor of q i. Guide and workbook, which comprise an awardwinning program that makes algebra doable. A common factor of two or more numbers is a number that divides each of them exactly.
Very useful for all freshers, college students and engineering students preparing for placement tests or any competitive exam like mba, cat, mat, snap, mhcet, xat. An efficient solution is to use euclidean algorithm which is the main algorithm used for this purpose. Candidates can take the problems on lcm and hcf aptitude quiz from this article. Lcm and hcf questions and answers updated daily aptitude. Now, through this post, we are going to provide information about the lcm and hcf problems with solutions pdf, lcm and hcf formulas, hcf and lcm problems, hcf and lcm aptitude tricks, lcm problems with solutions, lcm and hcf problems for bank po. The lcm of two or more given numbers is the least number which is exactly divisible by each of them.
There are two types of question usually asked in the examination based on h. This website and its content is subject to our terms and conditions. Applications of hcf and lcm tricks for cat 1 the greatest number dividing a, b and c leaving remainders of x1, x2 and x3 is the hcf of ax1x1, bx2x2 and cx3x3. Using venn diagram is the easiest way to find the highest common factor and least common multiple of two or more numbers. The code below find the highest common factor and the least common multiple of two integers. The least or smallest common multiple of any two or more given natural numbers are termed as lcm. Sapna will be solving a lot of questions based on lcm and hcf in this course. This is aptitude questions and answers section on problems on lcm and hcf with explanation for various interview, competitive examinations and entrance tests.
Lcm x hcf of two numbers is equal to the product of numbers. Hcf lcm pdf download learn quanta to software programming. If number p divided another number q exactly, we say that p is a factor of q. Excel has two useful functions for work with fractions. If hcf h of two numbers is given, then the numbers can be assume as hcf x a and hcf x b a. Lcm and hcf short tricks with examples bankexamstoday. Lcm and hcf shortcuts gr8ambitionz prepare for ibps po. Problems on hcf and lcm learn and practice problems on hcf and lcm with solved aptitude questions and answers accompanied by easy explanation, shortcuts and tricks that help in understanding the concept clearly. Problems on hcf and lcm aptitude questions and answers. And the lcm is the smallest or least positive integer that is divisible by both a and b.
The product of two numbers is equal to the product of their hcf and lcm. Can anyone give shortcuts for solving hcf and lcm in cat type competitive exams. The common multiples of 3 and 4 are 12,24 and so on. Hi i am from tuition hub thanks for visiting our channel tuition hub, for more upcoming video subscribe our channel upto belicon. Category questions section with detailed description, explanation will help you to master the topic. How to find the lcm aka lcd in two easy steps mathchat. Quantitative aptitude hcf and lcm problems unacademy. Jun 11, 2019 for hcf of two numbers matha, bmath that are roughly the same size.
Find step by step code solutions to sample programming questions with syntax and structure for lab practicals and assignments. A simple solution is to find all prime factors of both numbers, then find intersection of all factors present in both numbers. Lcm and hcf shortcut tricks and formulas question paper. The least common multiple lcm of two or more positive integers is the smallest integer which is a multiple of all of them. Lcm and hcf shortcut tricks formulas, problems example. Lcm and hcf problems shortcuts and tricks part1 crt. Type 1 when various number a, b, c is divided by number n and gives the same remainder r in each case. Lets learn about lcm, hcf, and relation between hcf and lcm of natural numbers. Hcf and lcm are two important conceptschildren should be very clear about these conceptsstudents preparing for competitive examinations should see. No need for venn diagrams or other time consuming methods. Lcm and hcf problems shortcuts and tricks part1 crt training. Candidates who are going to appear in any competitive exam can check lcm and hcf shortcut tricks and formulas from here. Factors, multiples, hcf and lcm teaching resources. The numbers which exactly divide a given number are called the factors of that number.
Lcm and hcf shortcut tricks page 2 lcm and hcf important questions page 3 lcm and hcf video lecture page 4. While doing the ldivision method, initially divide only using the prime numbers which are common factors for all the numbers, then divide using the prime numbers which are not common. Can anyone give shortcuts for solving hcf and lcm in cat type. Find the hcf of 18 and 45 the highest common factor hcf of 18 and 45 is 9. Hcf and lcm shortcuts for quantitative aptitude key4win. Find lcm, and hcf for the numbers 240, 450 and 570.
Now, check whether the numbers are divisible by the difference. Learn how to find the lcm for any pair of whole numbers. We also share information about your use of our site with our social media, advertising and analytics partners. Mar 23, 2018 applications of hcf and lcm tricks for cat 1 the greatest number dividing a, b and c leaving remainders of x1, x2 and x3 is the hcf of ax1x1, bx2x2 and cx3x3. C program to find hcf and lcm programming simplified. All credit goes to lieutenant colonel retired tariq parvez. The product of the highest powers of all the factors gives lcm.
Lcm and hcf shortcuts gr8ambitionz prepare for ibps po x. Solved 50 lcm and hcf questions and answers section with explanation for various online exam preparation, various interviews, logical reasoning category online test. Jun 10, 2017 hcf and lcm are two important conceptschildren should be very clear about these conceptsstudents preparing for competitive examinations should see this video for grasping the concept and. This would help us in solving questions which require you to find the remainder when a large number is divided by another. Finally return product of elements in the intersection. If the numbers have no common factor, the task is even easier.
In this course, a very important concept, hcf and lcm is explained in detail. The idea is, gcd of two numbers doesnt change if smaller number is subtracted from a bigger number. Heres a quick way to find the least common multiple for a pair of numbers. Each question in the topic is accompanied by a clear and easy explanation, diagrams, formulae, shortcuts and tricks that help in understanding the concept.
Tips and tricks and shortcuts on hcf and lcm problems prepinsta. For example, let us take two positive integers 4 and 6. Express each one of the given numbers as the product of prime factors. For hcf of two numbers matha, bmath that are roughly the same size.
Here, the shortcut to find hcf and lcm is using venn diagram. Lcm and hcf tricks, problems and formulas bankexamstoday. Problems on hcf and lcm questions and answers learn and practice the chapter problems on hcf and lcm with these solved aptitude questions and answers. Lcm is known as smallest common multiple or lowest common multiple or least common multiple of given numbers. Properties of hcf and lcm formulas and solved problems. Sep 06, 2016 lcm and hcf problems shortcuts and tricks crt tutorial videos mr. F least common multiple lcm of two or more numbers is the smallest number that is a multiple of all the numbers. Lcm and hcf formulas, shortcuts and tricks with examples. For this question we need to write all the given numbers, and then write their highest powers. The largest positive integer which divides two or more integers without any remainder is called highest common factor hcf or greatest common divisor or greatest common factor gcf. The lcm of two or more fractions is the least fraction or integer which is exactly divisible by each of them. As you all know that lcm and hcf is important topic and asked in many of exams, so who are engaged in preparing for government jobs can download pdf lcm and hcf shortcut tricks in hindi from here.
Lcm and hcf problems shortcuts and tricks crt tutorial videos mr. Highest common factor find the hcf of 12 and 32 the highest common factor hcfof 12 and 32 is 4. Quantitative aptitude questions and answers hcf and lcm. Find the lcm of 8,9,12,15 that leaves same remainder 1 in each the.
Trick 32 shortcuts for hcf and lcm problems youtube. Hcf and lcm important formulas, shortcut methods and tricks. Also, well discuss some shortcuts to find the remainders when a number is divided by specific numbers, quickly, based on the. Tips and tricks and shortcuts to find hcf easily ques. The lcm in that case is simply the product of the numbers. To find the hcf and lcf of two number in java programming, you have to ask to the user to enter the two number, to find the hcf and lcf of the given two number to display the value of the hcf and lcm of the two numbers on the output screen as shown in the following program. Greatest number of four digits 9999 lcm of 15, 25, 40 and 75 600 9999. Highest common factor find the hcf of 12 and 32 the highest common factor hcf of 12 and 32 is 4. Tes global ltd is registered in england company no 02017289 with its registered office. Find their difference mathabmath, and find the hcf of mathamath and mathabmath. For example if a number divides 51, 128, 298 and leaves 3, 8 and 10 as the remainders then the largest number to do so would be the hcf of 48, 120, 288 24. The least or smallest common multiple of any two or more given natural numbers are termed. F of two or more numbers is smaller than or equal to the smallest number of given numbers.
This quiz involves in problems on lcm and hcf mcq online test with various types of questions and answers. Problems on lcm and hcf aptitude questions and answers. So, lets start with the topic of hcf and lcm formula in which we will discuss about shortcuts of hcf and lcm with. Lcm and hcf formula lcm and hcf formulas, properties and important ways to solve lcm and hcf questions are given below on this page below. In arithmetic, the least common multiple or lcm of two numbers say a and b, is denoted as lcm a,b. Program to find gcd or hcf of two numbers geeksforgeeks. Least common multiple lcm of two or more numbers is the smallest number that is a multiple. Download this app from microsoft store for windows 10 mobile, windows phone 8. Formulas property 1 lcm x hcf product of two numbers h. The lcm is the least number which is exactly divisible by each one of the given numbers.529 1240 270 1118 432 1658 598 1082 187 1394 1034 616 1099 41 399 1276 663 413 884 590 899 421 1222 1520 834 1182 11 1630 643 1391 1462 1076 1625 1372 603 1208 952 581 634 991 1371 1088 222 987 1413 370 998 615