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).

Let me explain it with another pythagorean triple which is 5, 12, 13 which will be 52 + 122 = 132

Here I give you the divisors of 5: 1, 5

Now the divisors of 12: 1, 2, 3, 4, 6, 12

And the divisors of 13:1, 13

So the greatest common divisor is 1

Here is the proof. I hope this is useful for you