Question
Which of the following pairs of numbers are
co-primes?Solution
ATQ,
Two numbers are said to be co-primes if their greatest common divisor (GCD) is 1. Let's check each pair: 34 and 35: The factors of 34 are: 1, 2, 17, 34. The factors of 35 are: 1, 5, 7, 35. The GCD is 1. Therefore, 34 and 35 are co-primes. 12 and 18: The factors of 12 are: 1, 2, 3, 4, 6, 12. The factors of 18 are: 1, 2, 3, 6, 9, 18. The GCD is 6. Therefore, 12 and 18 are not co-primes. 7 and 14: The factors of 7 are: 1, 7. The factors of 14 are: 1, 2, 7, 14. The GCD is 7. Therefore, 7 and 14 are not co-primes. 17 and 170: The factors of 17 are: 1, 17. The factors of 170 are: 1, 2, 5, 10, 17, 34, 85, 170. The GCD is 17. Therefore, 17 and 170 are not co-primes.
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