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GCD & LCMhard
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What is the number of ordered pairs (a,b)(a, b)(a,b) such that lcm(a,b)=100\text{lcm}(a, b) = 100lcm(a,b)=100 and gcd(a,b)=1\text{gcd}(a, b) = 1gcd(a,b)=1?