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Def. S. 20Sei R ein Integritätsbereich, seien a, b ∈ R. Als grösster gemeinsamer Teiler oder ggT von a und b gilt ein Element d ∈ R, falls (i) d ein Teiler ist von a sowie von b,(ii) alle e ∈ R mit der Eigenschaft aus (i) auch d teilen.Ist 1 ∈ R ggT von a und b, so heissen a und b teilerfremd.
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