Let a, b, q, r E Z and assume that a and b are not both zero and b and r are not both zero. Show that if a ba 1r then acd(a b) – acd(h r)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.1: Ratios, Rates And Proportions
Problem 43E: In the figure, assume that a 0. Prove that BDDEBEAC.
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Let a, b, q, r EZ and assume that a and b are not both zero and b and r are not both zero.
Show that, if a = bą + r, then gcd(a, b) = gcd(b, r).
Transcribed Image Text:Let a, b, q, r EZ and assume that a and b are not both zero and b and r are not both zero. Show that, if a = bą + r, then gcd(a, b) = gcd(b, r).
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