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

Let * be the binary operation on N defined by a*b=HCF of a and b .Does there exist identity for this binary operation on N?

Let * be the binary operation on N defined by aquad *,b commutative? Is * associative? Does there exist identity for this binary operation on N ?

Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b . Is ∗ associative?

Let ∗ be the binary operation on N defined by a*b=H.C.F. of a and b . Is ∗ commutative?

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 the binary operation on N given by a*b=LCM of a and b,Is * associative?

Let ** be the binary operation on N given by a**b = L.C.M. of a and b. Find Find the identity of ** in N.

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

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 ?