About the number of pairs which have 16 as their H.C.F

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About the number of pairs which have 16 as their H.C.F and 136 as their L.C.M. We can definitely say that ?

1. Only one such pair exists
2. Only two such pair exists
3. Many such pairs exists
4. No such pair exists

Correct Option: D

H.C.F. of two numbers divides their L.C.M. exactly. Since 16 is not a factor of 136, it states that there does not exist any pair of numbers with H,C.F. 16 and L.C.M. 136.