The multiples of 6 are 6, 12, 18, 24, 30 and so on. We have covered almost every variety of problems and learned direct formulas to solve them quickly. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32 and so on. Sep 15, 20 this website and its content is subject to our terms and conditions. Hcf is also known as the greatest common divisor gcd or the greatest common factor gcf. If one of the numbers is 15, find the other number.
Relation between hcf and lcm definitions, and formulas. We touch upon a few of them, and use it mainly to compute the hcf of. C program to find hcf and lcm programming simplified. Both hcf and lcm carry a great significance in mathematics, physics and engineering. In this article, we are going to discuss the definition, the relation between hcf and lcm of given numbers in detail with examples. However, there are still certain advance types of problems which are based on hcf and lcm concepts. Questions involving hcf and lcm will involve 2 or more numbers. The product of the lcm and hcf of two numbers is equal to the product of the two numbers. The least or smallest common multiple of any two or more given natural numbers are termed. Practice problems on hcf and lcm for all competitive exams. Hcf highest common factor this is the biggest number that will divide into the given numbers. Numbers is very wide concept and is asked in a variety of ways. Find the hcf of 18 and 45 the highest common factor hcfof 18 and 45 is 9. Least common multiple the lcm of two or more given numbers is the least number which is exactly divisible by each of them.
Get free question bank, notes, formulae, tips and tricks. Lcm \\beginaligned \\frac hcf of denominators lcm of numerators \\endaligned so answers will be option 2, please also give attention to the difference in formula of hcf and lcm. A completes a round in 252 seconds, b in 308 seconds and c in 198 seconds, all starting at the same point. To find the hcf and lcf of two number in c programming, you have to ask to the user to enter the two number, to find the hcf and lcf of the two number to display the value of the hcf and lcm of the two numbers. Properties of hcf and lcm formulas and solved problems. Quantitative aptitude hcf and lcm tutorial study material. But, such questions require advance concepts of factorization. This is aptitude questions and answers section on problems on lcm and hcf with explanation for various interview, competitive examinations and entrance tests. Solved practice questions for cat, find all the formulas, full chapter notes, tips and tricks to prepare on lcm and hcf for cat. The sum of the lcm and hcf of two numbers is 1884 and their. Pdf the main purpose of this study is to improve students understanding of highest. Lcm \\beginaligned \\frachcf of denominatorslcm of numerators \\endaligned so answers will be option 2, please also give attention to the difference in formula of hcf and lcm.
Relation between hcf, lcm and product of multiple numbers. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. Pdf teaching strategies in the learning of highest common factor. On the other hand, least common multiple lcm is the smallest common multiple of the whole numbers. This is the aptitude questions and answers section on problems on h. Word problems on direct variation and inverse variation word problems on unit price. Writing a program to find the hcf and lcm of two whole numbers is. Quantitative aptitude lcm hcf problems pdf download with. The hcf asks you to find the biggest highest factor that belongs is common to both numbers. Thank you to fellow tes members l reeshughes for the collect a joke and fionajones88 for the board game. Candidates can take the problems on lcm and hcf aptitude quiz from this article.
Top 25 rrb ntpc maths questions based on asked questions in previous exam papers very important for the railway ntpc exam. Tes global ltd is registered in england company no 02017289 with its registered office at 26 red lion square london wc1r 4hq. This page provides important questions on lcm and hcf along with correct answers and clear explanation, which will be very useful for various interviews, competitive examinations and entrance tests. In this section, you will learn how to find highest common factor hcf and least common multiple lcm of the given numbers.
Sep 17, 2012 three part lesson on finding the hcf and lcm. All students, freshers can download aptitude problems on h. Lcm and hcf questions and answers updated daily aptitude. Solved practice questions for bank po, find all the formulas, full chapter notes, tips and tricks to prepare on lcm and hcf for bank po. Here, most of the lcm and hcf questions are framed with latest concepts, so that you may get updated through these lcm and hcf online tests. We can combine the previous tests for divisibility by testing separately for divisibility by. Lcm and hcf bank po chapters important concepts, practice.
This, however, is vital to teaching and to help children understand mathematical concepts. F of two or more numbers is the largest number that divides evenly into both numbers. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 4. These results suggest that the concept of hcf and lcm has yet. The hcf and lcm are essential for fractions and later for algebra. It is the smallest number which divides the two or more given numbers. Teachers of maths often find it difficult to create an interest in the subject in tender minds. What are the applications of hcf and lcm in daily life. N 2520 21 120 now, lcm 20n 20 x 120 2400 we know that, 1st number x 2nd number hcf x lcm. Since this greatest common divisor or gcd is also known as the highest common factor or hcf. Aptitude hcf and lcm if a number p divides another number q exactly, we say that p is a factor of q i. Due to some limitations in web options, math symbols, notations were unable to view properly. The product of two numbers is equal to the product of their hcf and lcm. The greatest number that exactly divides all the given number is the gcd or hcf of those numbers.
Whenever we have to solve this sort of question, remember the formula. Thus the product of lcm and hcf is not a function of the product of the three numbers. The greatest number which can completely divide the numbers is called their highest common factor hcf. The highest common factor hcf and the lowest common. The hcf will be smaller than or equal to the smaller number, and the lcm. Hcf and lcm problems basic hcf and lcm problems advanced understanding lcm or least common multiple. The lcm of two or more numbers is the smallest number that is a common multiple of two or more. For instance, take 8 and 12, the gcd of these two numbers or the hcf of two numbers will be 4. Every time you click the new worksheet button, you will get a brand new printable pdf worksheet on lcm and. Hence, product of two numbers hcf lcm of the two numbers. Hcf and lcm are two such concepts that find importance not only for school level mathematics.
Gcf free download greatest common factor task cards. A, b and c start at the same time in the same direction to run around a circular stadium. Indeed, our concept of the number 2 is so different from our conceptions of all other numbers. Solved examples with detailed answer description, explanation are given and it would be easy to understand. M quiz questions with answers as pdf files and ebooks. Writing a program to find the hcf and lcm of two whole numbers is a popular tutorialquestion in c programing language. In this article, we have covered the basic concepts, tricks and formula on hcf and lcm. Nov 26, 2019 the least common multiple of two or more integers is always divisible by all the integers it is derived from. Gcse hcf and lowest common multiple, highest common factor. The complete explanation of hcf, lcm of fractions and of two numbers with examples problems are given here.
F of two or more numbers is the greatest number that divides each of them exactly. For this question we need to write all the given numbers, and then write their highest powers. The least common multiple lcm of two or more numbers is the smallest of the numbers, which is exactly divisible by each of them, e. Problems on lcm and hcf aptitude questions and answers. N 2520 21 120 now, lcm 20n 20 x 120 2400 we know that, 1st number x.
To make you understand even better, we are providing you with the video link. Nov 24, 2018 the hcf of two or more numbers is the largest common factor of the given numbers. A multiple of a given number is obtained by multiplying that number by a whole number. Hcf and lcm questions answers mcq quantitative aptitude for. The code below find the highest common factor and the least common multiple of two integers. The lowest common multiple lcm of 2 or more numbers is the smallest number that is a multiple of each of them.
To learn more about hcf and lcm and numerous other topics download byjus the learning app and watch interactive videos. The number system constitutes an important part of ssc tier ii quantitative aptitude exam. Lcm and hcf cat chapters important concepts, practice. The sum of the lcm and hcf of two numbers is 1884 and their difference is 1860. Hcf and lcm questions answers mcq quantitative aptitude. Word problems on simple equations word problems on linear equations word problems on quadratic equations. Highest common factor find the hcf of 12 and 32 the highest common factor hcfof 12 and 32 is 4. Find the lcm of 2 4 x 5 2 x 7 3 x 11 2, 7 6 x 5 4 x 2 7 x, 5 6 x 2 2 x 7 4 x 17. This quiz involves in problems on lcm and hcf mcq online test with various types of questions and answers.
The lcm wants the smallest lowest number that is a multiple of both numbers. Typical problems on hcf and lcm gcd and lcm problems. If the lcm and hcf of two numbers are 72 and 12 respectively. A number which exactly divides all the given numbers is a common divisor of those numbers. We can combine the previous tests for divisibility by testing separately for. Lets learn about lcm, hcf, and relation between hcf and lcm of natural numbers. See more ideas about lcm, greatest common factors, math. Learn vocabulary, terms, and more with flashcards, games, and other study tools. In arithmetic, the least common multiple or lcm of two numbers say a and b, is denoted as lcm a,b. Understanding properties of hcf and lcm, and seamlessly combining different mathematical concepts in solving word problems. Maths practice set for lcm and hcf check questions. Hcf and lcm concepts formulas and problems for cat exam. The least or smallest common multiple of any two or more given natural numbers are termed as lcm.
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