Question

НОД (525,225)(36,144)(225,315,450)(36,192,480)

Answer 1

У меня вопрос что такое год

Answer 2

To find the greatest common divisor (GCD) of the given numbers, we can calculate the GCD for each pair of numbers and then find the GCD of the resulting values. Let's calculate it step by step:

1. GCD(525, 225):

   • Using the Euclidean algorithm: 525 = 2 * 225 + 75 225 = 3 * 75 + 0
   • The GCD of 525 and 225 is 75.

2. GCD(36, 144):

   • Using the Euclidean algorithm: 144 = 4 * 36 + 0
   • The GCD of 36 and 144 is 36.

3. GCD(225, 315, 450):

   • We'll find the GCD of 225 and 315 first:
     • Using the Euclidean algorithm: 315 = 1 * 225 + 90 225 = 2 * 90 + 45 90 = 2 * 45 + 0
     • The GCD of 225 and 315 is 45.
   • Now we'll find the GCD of 45 and 450:
     • Using the Euclidean algorithm: 450 = 10 * 45 + 0
     • The GCD of 45 and 450 is 45.

4. GCD(36, 192, 480):

   • We'll find the GCD of 36 and 192 first:
     • Using the Euclidean algorithm: 192 = 5 * 36 + 12 36 = 3 * 12 + 0
     • The GCD of 36 and 192 is 12.
   • Now we'll find the GCD of 12 and 480:
     • Using the Euclidean algorithm: 480 = 40 * 12 + 0
     • The GCD of 12 and 480 is 12.

Finally, we need to find the GCD of the four values: 75, 36, 45, and 12. Using the same approach, we have: GCD(75, 36) = 3 GCD(45, 3) = 3 GCD(12, 3) = 3

Therefore, the greatest common divisor (GCD) of (525, 225), (36, 144), (225, 315, 450), and (36, 192, 480) is 3.