Question

Найди наибольший общий делитель чисел наиболее удобным способом. 42 и 60;45 и 81

Answer 1

60|2
30 |2
15 |3
5 |5
1 |1
0 |0


42 2
21 3
7 7
1 1
0 0


45 5
9 9
1 1
0

Answer 2

Не помню уже как находить...
Вроде 3 и 9

Answer 3

Finding the Greatest Common Divisor (GCD)

To find the greatest common divisor (GCD) of two numbers, we can use the method of prime factorization. The prime factorization of a number involves breaking it down into a product of prime numbers. Once we have the prime factorization of both numbers, we can identify the common prime factors and calculate the GCD.

Let's calculate the GCD for the given pairs of numbers:

1. For 42 and 60: - The prime factorization of 42 is 2 * 3 * 7. - The prime factorization of 60 is 2^2 * 3 * 5. - The common prime factors are 2 and 3. - Therefore, the GCD of 42 and 60 is 6.

2. For 45 and 81: - The prime factorization of 45 is 3^2 * 5. - The prime factorization of 81 is 3^4. - The common prime factor is 3. - Therefore, the GCD of 45 and 81 is 3.

These calculations are based on the prime factorization method, which is a reliable way to find the GCD of two numbers.

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