The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is_________?
Q1. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is_________?
Answer: 127
Explanation: Find HCF of (1657−6)=1651 and (2037−5)=2032. Applying the Euclidean algorithm gives HCF=127.