What is the greatest number that divides 1661 and 2045, leaving remainders of 10 and 13, respectively?
A
125
B
127
C
129
D
131
Correct Option:
B
Explanation
The required number must divide 1661 - 10 = 1651 and 2045 - 13 = 2032 exactly. The HCF of 1651 and 2032 is 127. Therefore, the greatest such number is 127.
