Apythagorean 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