Is it Finite!

Number Theory Level pending

True or False:

The set of common divisors of two integers a a and b b is always finite.

True False

Shanthanu Rai by Shanthanu Rai , 21, India

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1 solution

Shanthanu Rai
Dec 3, 2018

If a = b = 0 a = b = 0 , then the set of common divisors is all integers except zero since every integer (except) divides 0 0 .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

I think you should specify that you're asking for all integer pairs and not only for specific ones. So, you should say "is always finite".

Henry U - 2 years, 6 months ago

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Yeah makes sense. I will include it in the problem

Shanthanu Rai - 2 years, 6 months ago

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