Mathematics, 18.07.2019 21:10 Studyhard4706

Show that if a, b, and c are integers such that (a, b) = 1 [that is, the greatest common denomenator is equal to 1] and c | (a + b) [that is, c divides into (a + b) and (a+b) = c*e {where e is a some positive constant}], then (c, a)=(c, b)=1.

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Show that if a, b, and c are integers such that (a, b) = 1 [that is, the greatest common denomenator...