What is the smallest division without a fraction?

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Is there a mathematical formula to calculate the smallest division of a fraction with both numbers not being a division? I'm not a mathematician (and not English), so I hope I use the correct terms.

Example: $\frac{300}{400}=\frac{3}{4}$.

But what about $\frac{27}{9}$ or $\frac{2655}{425}$?

What is the smallest division without a fraction?

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This is called: 'Reducing the fraction to lowest terms'. A fraction in lowest terms is called 'irreducible'.