Question

НОД (25;35)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answer 1

Нод (25;35)

25|5 35|5

5|5 7|7

1 1

25=5*5

35=5*7

Нод (25;35) = 5

Answer 2

Ответ:

НОД (25;35) =5

25 = 5 × 5

35 = 5 × 7

Ответ: НОД(25;35) равен 5

Answer 3

To find the greatest common divisor (GCD) of 25 and 35, we can use the Euclidean algorithm. The Euclidean algorithm involves dividing the larger number by the smaller number and taking the remainder. Then, we divide the previous smaller number by this remainder and continue the process until the remainder is zero. The last non-zero remainder is the GCD.

Let's apply the Euclidean algorithm to find the GCD of 25 and 35:

Step 1: Divide 35 by 25. 35 ÷ 25 = 1 remainder 10

Step 2: Divide 25 by 10. 25 ÷ 10 = 2 remainder 5

Step 3: Divide 10 by 5. 10 ÷ 5 = 2 remainder 0

Since the remainder is now zero, we stop the algorithm. The GCD of 25 and 35 is the last non-zero remainder, which is 5.

Therefore, the GCD of 25 and 35 is 5.