Question

Докажите что числа 255 и 238 не взаимно простые 392 и 675 взаимно простые помогите ребят

Answer 1

У чисел 255 и 238 есть общий делитель 17 
У 392 и 675 общий делитель 1 
у 266 и 285 общий 19 
По определению числа взаимо простые, если их единственный общий делитель 1

Answer 2

Proof that 255 and 238 are not coprime:

To prove that two numbers are not coprime, we need to show that they have a common factor other than 1. In this case, we need to determine if 255 and 238 have a common factor other than 1.

To find the common factors, we can calculate the prime factorization of each number.

The prime factorization of 255 is 3 * 3 * 5 * 17. The prime factorization of 238 is 2 * 7 * 17.

From the prime factorizations, we can see that both 255 and 238 have a common factor of 17. Therefore, they are not coprime.

Proof that 392 and 675 are coprime:

To prove that two numbers are coprime, we need to show that they have no common factors other than 1. In this case, we need to determine if 392 and 675 have any common factors other than 1.

To find the common factors, we can calculate the prime factorization of each number.

The prime factorization of 392 is 2 * 2 * 2 * 7 * 7. The prime factorization of 675 is 3 * 3 * 3 * 5 * 5.

From the prime factorizations, we can see that 392 and 675 do not have any common factors. Therefore, they are coprime.

I hope this helps! Let me know if you have any further questions.