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Let ** be the binary opertion on N defin...

Let `**` be the binary opertion on N defined by `a **b=H.C.F.` of a and b. Is `**` commutative ? Is `**` associative ? Does there exist identity for this binary opertion on N ?

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The correct Answer is:
`**` is both commutative and associative;` **` does not have any identity in N
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