Question

НСД(60;48)=? НСК(60;48)=? Пожжжжже​

Answer 1

60 | 2                                          48 | 2

30 | 2                                          24 | 2

15 | 3                                           12 | 2

5 | 5                                             6 | 2

1                                                   3 | 3

60 = 2² · 3 · 5                              1

                                                   48 = 2⁴ · 3

НОД = 2² · 3 = 12 - наибольший общий делитель

60 : 12 = 5                                   48 : 12 = 4

НОК = 2⁴ · 3 · 5 = 240 - наименьшее общее кратное

240 : 60 = 4                                240 : 48 = 5

Вiдповiдь: НСД = 12; НСК = 240.

Answer 2

It seems like you're asking about the greatest common divisor (НСД) and least common multiple (НСК) of the numbers 60 and 48. Let's calculate:

1. НСД (Greatest Common Divisor) of 60 and 48: To find the greatest common divisor of 60 and 48, we need to determine the largest number that divides both 60 and 48 evenly.

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The common factors are 1, 2, 3, 4, and 6. The largest common factor is 6.

So, НСД(60;48) = 6.

2. НСК (Least Common Multiple) of 60 and 48: To find the least common multiple of 60 and 48, we need to determine the smallest multiple that is divisible by both 60 and 48.

Multiples of 60: 60, 120, 180, 240, 300, ... Multiples of 48: 48, 96, 144, 192, 240, ...

The smallest multiple that is common to both 60 and 48 is 240.

So, НСК(60;48) = 240.

In summary:

• НСД(60;48) = 6
• НСК(60;48) = 240

If you have any further questions, feel free to ask!