8 | 2 16 | 2 28 | 2
4 | 2 8 | 2 14 | 2
2 | 2 4 | 2 7 | 7
1 2 | 2 1
8 = 2³ 1 28 = 2² · 7
16 = 2⁴
НОД (8; 16 и 28) = 2² = 4 - наибольший общий делитель
8 : 4 = 2 16 : 4 = 4 28 : 4 = 7
= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =
12 | 2 18 | 2 24 | 2
6 | 2 9 | 3 12 | 2
3 | 3 3 | 3 6 | 2
1 1 3 | 3
12 = 2² · 3 18 = 2 · 3² 1
24 = 2³ · 3
НОК (12; 18 и 24) = 2³ · 3² = 72 - наименьшее общее кратное
72 : 12 = 6 72 : 18 = 4 72 : 24 = 3
Ответ: НОД (8; 16 и 28) = 4; НОК (12; 18 и 24) = 72.
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Verified answer
8 | 2 16 | 2 28 | 2
4 | 2 8 | 2 14 | 2
2 | 2 4 | 2 7 | 7
1 2 | 2 1
8 = 2³ 1 28 = 2² · 7
16 = 2⁴
НОД (8; 16 и 28) = 2² = 4 - наибольший общий делитель
8 : 4 = 2 16 : 4 = 4 28 : 4 = 7
= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =
12 | 2 18 | 2 24 | 2
6 | 2 9 | 3 12 | 2
3 | 3 3 | 3 6 | 2
1 1 3 | 3
12 = 2² · 3 18 = 2 · 3² 1
24 = 2³ · 3
НОК (12; 18 и 24) = 2³ · 3² = 72 - наименьшее общее кратное
72 : 12 = 6 72 : 18 = 4 72 : 24 = 3
Ответ: НОД (8; 16 и 28) = 4; НОК (12; 18 и 24) = 72.