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Problems On H.C.F And L.C.M
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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 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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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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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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The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

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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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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 G.C.D. of 1.08, 0.36 and 0.9 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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The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

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Find the lowest common multiple of 24, 36 and 40.

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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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Reduce  to its lowest terms.

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The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

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A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

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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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What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

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The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

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The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

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252 can be expressed as a product of primes as:

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