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PROBLEMS ON H.C.F AND L.C.M QUIZ

Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?

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The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case, is:

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Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .

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A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

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

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Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?

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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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LCM of 87 and 145 is:

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Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?

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Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?

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