Coprime integers

In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime (also spelled co-prime) if the only positive integer that divides both of them is 1. That is, the only common positive factor of the two numbers is 1. This is equivalent to their greatest common divisor being 1. The numerator and denominator of a reduced fraction are coprime. In addition to ${\displaystyle \gcd(a,b)=1\;}$ and ${\displaystyle (a,b)=1,\;}$ the notation ${\displaystyle a\perp b}$ is sometimes used to indicate that a and b are relatively prime.

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