The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is: Choose one:
A) 234
B) 127
C) 274
D) 918
E) 121
Required number = H.C.F. of (1657 - 6) and (2037 - 5)   = H.C.F. of 1651 and 2032 = 127.   Answer:127
<result>B</result>
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is: