Determine the largest positive integer that is a divisor of all three of \( A = 2^{2010} \times 3^{2010} \), \( B = 3^{2010} \times 5^{2010} \), and \( C = 5^{2010} \times 2^{2010} \).

Let's think step by step and output the final answer within \boxed{}.
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