Question

из приведенных чисел составьте пару взаимно простых: 63 26 и 58 , 63 141 и 110 , 33 159 и 121 помогите пожалуйста

Answer 1

Finding Pairs of Coprime Numbers

To find pairs of mutually prime numbers among the given numbers, we need to check if the greatest common divisor (GCD) of each pair is equal to 1. If the GCD is 1, then the numbers are coprime or mutually prime.

Let's go through each pair and determine if they are coprime:

1. Pair: 63 and 26 - The GCD of 63 and 26 is 1, so they are coprime. (63, 26) is a pair of coprime numbers.

2. Pair: 58 and 63 - The GCD of 58 and 63 is 1, so they are coprime. (58, 63) is a pair of coprime numbers.

3. Pair: 63 and 141 - The GCD of 63 and 141 is 3, so they are not coprime.

4. Pair: 63 and 110 - The GCD of 63 and 110 is 1, so they are coprime. (63, 110) is a pair of coprime numbers.

5. Pair: 33 and 159 - The GCD of 33 and 159 is 3, so they are not coprime.

6. Pair: 33 and 121 - The GCD of 33 and 121 is 11, so they are not coprime.

Based on the analysis above, the pairs of mutually prime numbers among the given numbers are:

- (63, 26) - (58, 63) - (63, 110)

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