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Date: 2-1-2021
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There are two different statements, each separately known as the greatest common divisor theorem.
1. Given positive integers and , it is possible to choose integers and such that , where is the greatest common divisor of and (Eynden 2001).
2. If and are relatively prime positive integers, then there exist positive integers and such that (Johnson 1965).
REFERENCES:
Eynden, C. V. Elementary Number Theory, 2nd ed. New York: McGraw-Hill, 2001.
Johnson, P. B. "A Construction of Regular Polygons of Sides Leading to a Geometric Proof of ." Math. Mag. 38, 164-165, 1965.
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