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GCD & LCMmedium
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Given that GCD(a,b)=12\text{GCD}(a, b) = 12GCD(a,b)=12 and LCM(a,b)=432\text{LCM}(a, b) = 432LCM(a,b)=432, how many possible pairs of (a,b)(a, b)(a,b) exist?