The measures of angles \( A \) and \( B \) are both positive, integer numbers of degrees. The measure of angle \( A \) is a multiple of the measure of angle \( B \), and angles \( A \) and \( B \) are complementary angles. If the greatest common divisor (GCD) of \( A \) and \( B \) is 1, what are the possible measures of angle \( A \)? Let's think step by step and output the final answer within \boxed{}.
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