Ex 1.4, 5 - Let a *' b = HCF of a and b. Is *' same as * - Whether binary commutative/associative or not

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Ex 1.4, 5 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. * is defined on set {1, 2, 3, 4, 5} and a * b = H.C.F of a and b. The operation table is: Note that the operation tables for * and * are the same. Thus, the operation * is same as the operation*.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.