The largest number that divides 1657 and 2037 leaving remainders of 6 and 5 respectively, will be-

Explanation

H.C.F. of (1657 - 6) and (2037 - 5) = H.C.F. of 1651 and 2032 $1651 = 13 \times 127$ $2032 = 16 \times 127$ $\therefore$ Required largest number (H.C.F.) = 127