Reduce Fractions Calculator

Simplify Fractions to Lowest Terms with Step-by-Step Solutions

Learn how to reduce fractions by finding the Greatest Common Factor (GCF). Enter your own fraction and see the complete step-by-step explanation using LaTeX formatting.
Fraction Reduction Formula: \[ \frac{m}{n} = \frac{m \div \gcd(m,n)}{n \div \gcd(m,n)} \]

Where \(\gcd(m,n)\) is the greatest common factor (GCF) of \(m\) and \(n\).

Example: Reduce \(\displaystyle \frac{9}{12}\)
  • Find GCF of 9 and 12: factors of 9 = {1,3,9}; factors of 12 = {1,2,3,4,6,12} → GCF = 3
  • Divide numerator and denominator by 3: \(9 \div 3 = 3\), \(12 \div 3 = 4\)
  • Result: \(\displaystyle \frac{3}{4}\) in lowest terms.
Reduce Fraction to Lowest Terms
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Result:
Step-by-step solution will appear here.
📖 How to Find the GCF

The Greatest Common Factor (GCF) is the largest integer that divides both numbers without remainder. Methods:

  • Prime factorization: List prime factors, multiply common ones.
  • Euclid's algorithm: Repeatedly divide larger by smaller until remainder is zero; last divisor is GCF.

Example: GCF(24, 36) = 12

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