Let ′ be the binary operation on the set {1, 2, 3, 4, 5} defined by a ′ b = H.C.F. of a and b. Is the operation ′ same as the operation defined in Exercise 4 above? Justify your answer.


The binary operation *’ on the set {1, 2, 3, 4, 5} is defined as

a *’ b = HCF of a and b.


The operation table for the operation *’ is given by:



From the above table we can see that the operation tables for the operation * and *’ are the same.


Therefore, the operation *’ is same as the operation *.


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