# This content is archived!

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To simplify a fraction you find the greatest common denominator (GCD) and divide both the numerator and the denominator by it.

Iterating through the smaller number is sufficient for the problem for $\mathcal{O}(\sqrt{min(N, D)})$

However a faster algorithm is using Euclid’s algorithm for GCD.

## Time complexity

$\mathcal{O}(\log min(N, D))$