g.c.d.(r,s)

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- January 5th 2009, 11:32 PM #1

- January 6th 2009, 04:25 AM #2

- January 6th 2009, 06:46 AM #3

- January 6th 2009, 07:11 AM #4

- January 6th 2009, 07:25 AM #5

- January 6th 2009, 01:55 PM #6

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The original poster asked to prove as

**integers**not as polynomials.

If it was polynomials then the result works since .

Consider and then .

However if then and but .

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To solve this problem we need to know a theorem:

Let then where .

This means, since .

But then, .

This completes the proof since and .

- January 7th 2009, 03:30 AM #7

- January 7th 2009, 07:37 AM #8

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