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Question

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
276
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B
299
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C
345
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D
322
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Solution

The correct option is D 322
HCF of two numbers is the number which is common factor for both numbers given
Here 23 is the common factor.
Other than this common factor, we also will have the product of uncommon factors for the two numbers (13 and 14 here).
The first number =23×13=299
and second number =23×14=322
Greatest of two numbers is definitely 23×14=322

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