Let be the binary operation on N defined by a*b= HCF of a and b. Is * commutative? Is* associative ?

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Let * be a binary operation on N defined by a*b= HCF of a and b Is * commutative? Is * associative?

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Let * be a binary operation on N defined by a*b= HCF of a and b. Is *associative.

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Determine if the Binary Operation Defined by the Table is Commutative and Associative