Let ∗ be the binary operation on N defined by a∗b=HCF of a and b. Is ∗ commutative? Is ∗ associative? Does there exist identity for this binary operation on N?
Let ∗ be a 'binary' operation on N given by a∗b=LCM(a,b) for all a,b ϵ N.
Find 5∗7.