Question

Среди чисел 7; 14; 21; 29 сколькоразличных пар взаимно простых?​

Answer 1

Ответ:

НСД(7,14) = 7

НСД(7,21) = 7

НСД(7,29) = 1

НСД(14,21) = 7

НСД(14,29) = 1

НСД(21,29) = 1

Отже, існують три пари взаємно простих чисел: (7, 29), (14, 29) і (21, 29). Відповідь: 3.

Answer 2

Number of Distinct Pairs of Coprime Numbers

To find the number of distinct pairs of coprime numbers among 7, 14, 21, and 29, we need to determine which pairs of numbers have a greatest common divisor (GCD) of 1.

Let's analyze each pair of numbers:

- Pair 1: 7 and 14 - The GCD of 7 and 14 is 7, which is not equal to 1. Therefore, this pair is not coprime.

- Pair 2: 7 and 21 - The GCD of 7 and 21 is 7, which is not equal to 1. Therefore, this pair is not coprime.

- Pair 3: 7 and 29 - The GCD of 7 and 29 is 1. Therefore, this pair is coprime.

- Pair 4: 14 and 21 - The GCD of 14 and 21 is 7, which is not equal to 1. Therefore, this pair is not coprime.

- Pair 5: 14 and 29 - The GCD of 14 and 29 is 1. Therefore, this pair is coprime.

- Pair 6: 21 and 29 - The GCD of 21 and 29 is 1. Therefore, this pair is coprime.

In total, there are 3 distinct pairs of coprime numbers among 7, 14, 21, and 29.