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
Correct Option:
A
Explanation
A number leaving the same remainder when dividing 43, 91 and 183 must divide their pairwise differences: 91 - 43 = 48 and 183 - 91 = 92. The greatest common divisor is GCD(48, 92) = 4. So the required greatest number is 4.
