Let f, g, h ∈ F[X] with h a greatest common divisor of f and g. Show that
(i) f /h and g/h are coprime,
(ii) fg/h is a least common multiple of f and g.
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1Do you know how to prove this for integers instead of polynomials? The proof is deceptively similar. – Arthur Nov 13 '19 at 18:55
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I know how to for the first part – Nov 13 '19 at 19:05