The greatest number which on dividing 1657 and 2037 leaves remainders 10 and 7 respectively, is:
Choices
A) 123 B) 1 C) 235 D) 305 E) 505
Explanation:   Required number = H.C.F. of (1657 - 10) and (2037 - 7)   = H.C.F. of 1647 and 2030 = 1. Answer: 1
<result>B</result>
The greatest number which on dividing 1657 and 2037 leaves remainders 10 and 7 respectively, is: