\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(A, B \in \mathbb{K}[X]^*\) with \(A = B Q + R\) a Euclidean division. Show that the set of common divisors of \(A\) and \(B\) equals the set of common divisors of \(B\) and \(R\). Deduce \(A \wedge B = B \wedge R\).
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