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

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

A 4

B 7

C 9

D 13

Solution

Correct 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.