Question

НОД чисел 12;24;32 ​

Answer 1

Ответ:

НОД чисел 12,24,32 равен 4.

Разложим число 12 на простые множители: 12/2=6/2=3(2,2)

Разложим число 24 на простые множители: 24/2=12/2=6/2=3 (2,2,2)

Разложим число 32 на простые множители: 32/2=18/2=4/2=2/2=1 (2,2,2,2)

Answer 2

To find the greatest common divisor (GCD) of the numbers 12, 24, and 32, we can use the Euclidean algorithm.

First, let's find the GCD of 12 and 24:

• Divide 24 by 12: 24 ÷ 12 = 2 with no remainder.
• The GCD of 12 and 24 is 12.

Now, let's find the GCD of 12 and 32:

• Divide 32 by 12: 32 ÷ 12 = 2 with a remainder of 8.
• Divide 12 by 8: 12 ÷ 8 = 1 with a remainder of 4.
• Divide 8 by 4: 8 ÷ 4 = 2 with no remainder.
• The GCD of 12 and 32 is 4.

Therefore, the GCD of 12, 24, and 32 is 4.