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I think it would be the number itself?

If a*b is a binary operation giving HCF,

Then, for example, 15*15 = 15.

Factors of 15 are 1,3,5,15.

So I guess with 2 15's, the HCF = 15.

I hope it's right :)

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Q: What is the identity element for a binary operation defined on a set of natural nos such that ab equals HCF of a and b.?
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