Question

find the largest number that divides and leaves same remainder in each case

Answer 1

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Find the greatest number that will divide 55, 127 and 175 so as to leave the same remainder in each case. The required number would be the greatest number that divides 127-55 and 175 - 125, ie 72 and 48. The HCF of 72 and 48 is 24.

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