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Question

Find the number of pairs having 16 as their HCF and 136 as their LCM

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Solution

No such pairs exist.
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.
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