HCF and LCM Questions with Solutions

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HCF and LCM Questions with Solutions

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Math-HCF & LCM

HCF and LCM Questions with Solutions

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The G.C.D. of 1.08, 0.36 and 0.9 is:

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Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

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The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

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The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

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The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

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Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

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The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

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The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

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Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

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Here, students will find HCF and LCM questions with in-depth explanations that will aid in their understanding of the concept. In mathematics, LCM represents the Least Common Multiple and HCF represents Highest Common Factor. The HCF and LCM questions that we have provided here will assist students comprehend how to find the LCM and HCF of the given numbers. Different questions are also provided so that students can practise them, and they can compare their answers with the provided solutions on our page. For additional information on the HCF and LCM,

HCF and LCM Questions with Solutions

HCF Definition:The Highest Common Factor (HCF) of 2 or more numbers is defined as the greatest possible number that divides both the numbers completely. For example, if “a” and “b” are the two numbers, then the HCF of a and b, i.e, HCF (a, b) is the greatest possible number that divides both a and b. The two most commonly used methods to find the HCF of the given numbers are:Listing Factors MethodPrime Factorisation Method.

LCM Definition:The Least Common Multiple (LCM) of 2 or more given numbers is defined as the smallest common multiple, which is found in both the numbers. The LCM of any given number can also be found using the listing multiples method and prime factorisation method.

Relation Between HCF and LCM:The product of given numbers is equal to the product of the HCF and LCM of natural numbers.I.e., LCM of given numbers × HCF of given numbers = Product of given numbers.To know more about the relation between HCF and LCM,


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