H.C.F & L.C.M. of Numbers - Practice Questions

Question 1

Three numbers are in the ratio 1 : 2 : 3 and their H.C.F. is 12. The numbers are :

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Question 2

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

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Question 3

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

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Question 4

The greatest number that will divide 187, 233 and 279 leving the same reminder in each case is :

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Question 5

What is the least number which when divided by 8, 9, 12 and 15 leaves the same remainder 1 in each case ?

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Question 6

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

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Question 7

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 to all together ?

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Question 8

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

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Question 9

The H.C.F. of two numbers is 12 and their difference is 12. The numbers are :

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Question 10

Which of the following has the most number of divisors?

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