Let ${ }^{* \prime}$ be the binary operation on the set $\{1,2,3,4,5\}$ defined by $\mathbf{a}^{\star \prime} \mathbf{b}=$ H.C.F. of a and b. Is the operation ${ }^{* \prime}$ same as the operation * defined in the exp no.4 above? Justify your answer.