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Problems on HCF and LCM - General Aptitude

Q1:

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A 279

B 299

C 322

D 345

ANS:C - 322

Clearly, the numbers are (23 x 13) and (23 x 14).  Larger number = (23 x 14) = 322.