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#1

$Old$ November 6th, 2009, 09:10 PM

lebanon $lebanon is offline$

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$Cool$ waht is ?

what is the GCD of n and n+1

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#2

$Old$ November 6th, 2009, 09:12 PM

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It is $1$ , obviously ... can $n + 1$ possibly divide $n$ ? No. You can investigate this fraction :

$\frac{\ n + 1}{n}$

And saying that two consecutive numbers have a common factor (except 1) is saying that :

$(n + 1) mod n = 0$

Which is impossible.

Last edited by Bacterius; November 6th, 2009 at 10:33 PM.

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