Fraction Simplifier Calculator

Simplifying a fraction means dividing both the numerator and denominator by their greatest common divisor (GCD).

Formula:

Simplified = (Numerator / GCD) / (Denominator / GCD)

Finding the GCD (Euclidean Algorithm):

1. Divide the larger number by the smaller
2. Take the remainder
3. Divide the previous divisor by the remainder
4. Repeat until the remainder is 0
5. The last non-zero remainder is the GCD

Example: GCD of 48 and 18:

• 48 / 18 = 2 remainder 12
• 18 / 12 = 1 remainder 6
• 12 / 6 = 2 remainder 0
• GCD = 6

A fraction is fully simplified when the GCD of the numerator and denominator is 1.