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

  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise
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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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