Problems on HCF and LCM

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

ANS:A - 4

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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