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If the ratio of two numbers is 11 : 12 and their LCM is 528. Then their H.C.F is

The correct choice is: 4 Let the numbers be \(11k\) and \(12k\), where \(k\) is their H.C.F. (11 and 12 are co-prime). L.C.M. \(=11\times12\times k=132k=528\Rightarrow…

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If the ratio of two numbers is 11 : 12 and their LCM is 528. Then their H.C.F is

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Correct answer A

The correct choice is: 4

Let the numbers be 11k11k and 12k12k, where kk is their H.C.F. (11 and 12 are co-prime).

L.C.M. =11×12×k=132k=528⇒k=4=11\times12\times k=132k=528\Rightarrow k=4.

Hence the H.C.F. is 4.

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