Find the greatest number that will divide 43, 91 and 183 so as to leave the same

Question

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

Options:

A . 4

B . 7

C . 9

D . 13

Answer: Option A

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)

= H.C.F. of 48, 92 and 140 = 4.

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