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):**

169 ÷ 299 = 0 Remainder 169

299 ÷ 169 = 1 Remainder 130

169 ÷ 130 = 1 Remainder 39

130 ÷ 39 = 3 Remainder 13

39 ÷ 13 = 3 Remainder 0

The Greatest Common Divisor (GCD) of 169 and 299 is **13**.

**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 (13):

169 | = | 169 ÷ 13 | = | 13 |

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299 | 299 ÷ 13 | 23 |