Find the greatest number which divides 34, 60, and 85 leaving remainders of 7, 6, and 4
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Find the greatest number which divides 34, 60, and 85 leaving remainders of 7, 6, and 4
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Since 7, 6 and 4 are the remainders of 34, 60 and 85 respectively. So required number should divide (34 - 7) i.e. 27; (60 - 6) i.e. 54 and (85 - 4) i.e. 81 completely. Thus required number = H.C.F of 27, 54 and 81. Therefore the required number is 27.
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