Question

НОД чисел 144 и 60 помогите ​

Answer 1

Пошаговое объяснение:

144=2⁴ * 3²

60= 2² * 3 * 5

НОД= 2² * 3=12.

Answer 2

Sure, I can help you find the greatest common divisor (GCD) of 144 and 60.

The greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without leaving a remainder.

There are several methods to find the GCD, but one common and straightforward approach is using the Euclidean algorithm.

Step 1: Find the remainder of the division of the larger number by the smaller number. Step 2: Replace the larger number with the smaller number and the smaller number with the remainder. Step 3: Repeat steps 1 and 2 until the remainder becomes 0. Step 4: The GCD is the last non-zero remainder.

Let's apply the Euclidean algorithm to find the GCD of 144 and 60:

Step 1: 144 ÷ 60 = 2 with a remainder of 24

Step 2: Now, replace 144 with 60 and 60 with 24.

Step 3: 60 ÷ 24 = 2 with a remainder of 12

Step 4: Replace 60 with 24 and 24 with 12.

Step 5: 24 ÷ 12 = 2 with a remainder of 0

Since the remainder has become 0, we stop. The GCD of 144 and 60 is the last non-zero remainder, which is 12.

So, the GCD of 144 and 60 is 12.