Question

A Pythagorean triple is said to be "primitive" if the greatest common divisor of a, b, and c is 1. Use trial and error to find a primitive Pythagorean triple other than (3, 4, 5).

Answer 1

please solve

Answer 2

Another Pythagorean triple is (5, 12, 13) since \(5^2+12^2=13^2\)
And the divisors of 5: 1, 5
divisors of 12: 1, 2, 3, 4, 6, 12
divisors of 13: 1, 13

So the greatest common divisor is 1