For positive integers aaa and bbb, which inequality is always true?
gcd(a,b)≥max(a,b)\gcd(a, b) \geq \max(a, b)gcd(a,b)≥max(a,b)
gcd(a,b)≤min(a,b)\gcd(a, b) \leq \min(a, b)gcd(a,b)≤min(a,b)
gcd(a,b)=a+b2\gcd(a, b) = \frac{a + b}{2}gcd(a,b)=2a+b
gcd(a,b)×lcm(a,b)=a+b\gcd(a, b) \times \text{lcm}(a, b) = a + bgcd(a,b)×lcm(a,b)=a+b