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2
3
756 = 2 •3 •7; 1848 = 2 •3•7•11 special-edu.kz.

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ÍÎÄ (756, 1848) = 2 •3•7 = 84, èëè

ÍÎÄ (756, 1848) = 84.

Ïî ýòîìó ïðàâèëó ìîæíî íàéòè

íàèáîëüøèé îáùèé äåëèòåëü äëÿ òðåõ è

áîëåå ÷èñåë.

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Ïðèìåð 3. Íàéäåì íàèáîëüøèé îá-

ùèé äåëèòåëü ÷èñåë 18, 24, 30.

Ðåøåíèå. Ðàçëîæèì äàííûå ÷èñëà íà

ïðîñòûå ìíîæèòåëè:

18 = 2•3•3; 24 = 2•2•2•3;

30 = 2•3•5.

ÍÎÄ (18, 24, 30) = 2•3;
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ÍÎÄ (18, 24, 30) = 6.

Åñëè íàèìåíüøåå èç ÷èñåë ÿâëÿåòñÿ

äåëèòåëåì îñòàëüíûõ ÷èñåë, òî ýòî

÷èñëî ÿâëÿåòñÿ íàèáîëüøèì îáùèì

äåëèòåëåì äàííûõ ÷èñåë.

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