Mathematics · Number System
There are three numbers A, B, and C. The Highest Common Factor (HCF) of pairs (A, B), (B, C), and (C, A) are 3, 15, and 3 respectively. If the Least Common Multiple (LCM) of all three numbers is 300 and their product is 13500, find the greatest possible number that can divide all three numbers simultaneously (i.e., HCF of A, B, and C).
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