Question

Знайдіть найбільший спільний дільник чисел 231 і 273.

Answer 1

Відповідь:

21

Покрокове пояснення:

1, 3, 7, 11, 21, 33, 77, 231 - дільники 231

1, 3, 7, 13, 21, 39, 91, 273 - дільники 273

Найбільше і спільне  - це число 21

Answer 2

Finding the Greatest Common Divisor (GCD) of 231 and 273

To find the greatest common divisor (GCD) of two numbers, we can use the Euclidean algorithm. The Euclidean algorithm is an efficient method for finding the GCD of two numbers.

The Euclidean algorithm works by repeatedly dividing the larger number by the smaller number and taking the remainder. This process is repeated until the remainder is zero. The GCD is then the last non-zero remainder.

Let's apply the Euclidean algorithm to find the GCD of 231 and 273:

1. Divide 273 by 231: 273 ÷ 231 = 1 with a remainder of 42. 2. Divide 231 by 42: 231 ÷ 42 = 5 with a remainder of 21. 3. Divide 42 by 21: 42 ÷ 21 = 2 with a remainder of 0.

Since the remainder is now zero, we stop the process. The GCD of 231 and 273 is the last non-zero remainder, which is 21.

Therefore, the greatest common divisor (GCD) of 231 and 273 is 21.