Given a,b>0a, b > 0a,b>0, if gcd(a,b)=1\text{gcd}(a, b) = 1gcd(a,b)=1, what is the value of gcd(a+b,a2−ab+b2)\text{gcd}(a+b, a^2-ab+b^2)gcd(a+b,a2−ab+b2)?
1 or 3
1 or 2
Only 1
Only 3