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aldmin
@aldmin
July 2022
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Найдите наибольший общий делитель чисел 228 и 384
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prettypushkova
Verified answer
228 : 2 = 114 384 : 2 = 192
114 : 2 = 57 192 : 2 = 96
57 : 3 = 19 96 : 2 = 48
19 : 19 = 1 48 : 2 = 24
228 = 2 * 2 * 3 * 19 24 : 2 = 12
12 : 2 = 6
6 : 2 = 3
3 : 3 = 1
384 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3
НОД (228 и 384) = 2 * 2 * 3 = 12 - наибольший общий делитель
228 : 12 = 19 384 : 12 = 32
Ответ: НОД (228 и 384) = 12.
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Answers & Comments
Verified answer
228 : 2 = 114 384 : 2 = 192114 : 2 = 57 192 : 2 = 96
57 : 3 = 19 96 : 2 = 48
19 : 19 = 1 48 : 2 = 24
228 = 2 * 2 * 3 * 19 24 : 2 = 12
12 : 2 = 6
6 : 2 = 3
3 : 3 = 1
384 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3
НОД (228 и 384) = 2 * 2 * 3 = 12 - наибольший общий делитель
228 : 12 = 19 384 : 12 = 32
Ответ: НОД (228 и 384) = 12.