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[SOLVED] Why $\gcd(qb+r,b)=\gcd(b,r)$?

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[SOLVED] Prove $\gcd(a,b,c)=\gcd(\gcd(a,b),c)$.

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[SOLVED] If $\gcd(a,b)=1$ and $a$ and $b$ divide $c$, then so does $ab$

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[SOLVED] Division of Factorials

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[SOLVED] If a prime $p\mid ab$, then $p\mid a$ or $p\mid b$

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