(Surprised) If a/b,b/c, then the GCD of a,b,c is.

Please answer with explanation..

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- Oct 22nd 2012, 04:43 AMkohilaHelp with LCM and GCD.
(Surprised) If a/b,b/c, then the GCD of a,b,c is.

Please answer with explanation.. - Oct 22nd 2012, 04:56 AMPlatoRe: Help with LCM and GCD.
Well it depends:

$\displaystyle \text{If }a=5,~b=5~\&~c=5\text{ then GCD}(a,b,c)=~?$

$\displaystyle \text{If }a=5,~b=5~\&~c=10\text{ then GCD}(a,b,c)=~?$

$\displaystyle \text{If }a=5,~b=10~\&~c=15\text{ then GCD}(a,b,c)=~?$

The point being the answer is $\displaystyle \min\{a,b,c\}$. - Oct 22nd 2012, 05:22 AMkohilaRe: Help with LCM and GCD.
But the answer is a, my teacher suggested... I want the explanation on it...