Question

Как найти НОД 3 чисел 14 21 28

Answer 1

14:7=2:2=1
21:7=3:3=1
28:7=4:2=2:2=1
НОД=14

Answer 2

Finding the Greatest Common Divisor (GCD) of 3 Numbers (14, 21, 28)

To find the Greatest Common Divisor (GCD) of 3 numbers (14, 21, 28), we can use various methods such as prime factorization, Euclidean algorithm, or using a calculator. Let's explore the prime factorization method to find the GCD.

Prime Factorization Method:

The prime factorization of each number is as follows: - 14 = 2 * 7 - 21 = 3 * 7 - 28 = 2^2 * 7

To find the GCD, we take the product of the common prime factors raised to the lowest power they appear in the factorization of the given numbers. In this case, the common prime factor is 7, and it appears in the factorization of all three numbers.

Therefore, the GCD of 14, 21, and 28 is 7.

Snippet: ``` 6 = 1 + 2 + 3 28 = 1 + 2 + 4 + 7 + 14. ... 3 7; 21 + 2 = 23 . : 23 +...```

Snippet: ```5 (), : 1) . 2) . 3) . ) 12 = 2 * 2 * 3; 18 = 2 * 3 * 3; (12 18) = 2 * 3 * 3 * 2 = 36. ) 14 = 2 * 7; 28 = 2 * 2 * 7; (14 28) = 2 * 2 * 7 = 28. ) 8 = 2 * 2 * 2; 9 = 3 * 3; (8 9) = 3 * 3 * 2 * 2 * 2 = 72.```

This method allows us to efficiently find the GCD of multiple numbers by identifying their common prime factors.