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Problems on HCF and LCM - General Aptitude

Q1:

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

A 123

B 127

C 235

D 305

ANS:B - 127

Required number = H.C.F. of (1657 - 6) and (2037 - 5)   = H.C.F. of 1651 and 2032 = 127.