| The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively [SSC (CGL) 2011] |
A) (12, 24)
B) (24, 12)
C) (24, 36)
D) (36, 24)
Correct Answer: D
Solution :
(d) Given, HCF of \[a\] and \[b=12\] Let the numbers be \[12x\] and \[12y,\] where x and y are coprime. But given \[a>b>12\] \[\therefore \]\[a=36\]and \[b=24\]
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