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You factor numerator and denominator, and eliminate common factors. For example: 8/12 = (2x2x2) / (2x2x3). Eliminating two 2s from both the numerator and the denominator leaves you with 2/3.

Note that this is NOT the most efficient method. Especially for large numbers, Euclid's Algorithm is a much faster way to find the greatest common factor of two numbers.

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