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Greatest common divisor

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Prove that (a,b,c)=((a,b)c)
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This is a proof regarding greatest common divisor.

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Prove that (a,b,c)=((a,b),c)

Let d1= (a,b,c), and d2=((a,b),c), therefore d1 and d2 are the greatest common divider (GCD) of (a,b,c) and ((a,b),c) respectively.

Now we want to prove that d1=d2
(1) First, we prove that d1 is a factor of d2 (that is, d1|d2), i.e., ...

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