Simplify the fraction to lowest terms.

Simplify (or reduce) a fraction to lowest terms by dividing both the *numerator* and the *denominator* by the greatest common denominator (GCD).

If you would like to have a vivid explanation with a detailed example, please read the page Simplifying/Reducing Fractions - Learn this magic trick!

**Step 1: Calculate the greatest common divisor (GCD):**

75 ÷ 125 = 0 Remainder 75

125 ÷ 75 = 1 Remainder 50

75 ÷ 50 = 1 Remainder 25

50 ÷ 25 = 2 Remainder 0

The Greatest Common Divisor (GCD) of 75 and 125 is **25**.

**Step 2: Simplifying by the greatest common divisor (GCD):**

Since the GCD is greater than 1, the fraction can be simplified directly to lowest terms by this number (25):

75 | = | 75 ÷ 25 | = | 3 |

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125 | 125 ÷ 25 | 5 |