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Common Denominator Calculator

Find the LCD and GCD for up to 6 fractions, convert to equivalent fractions, add, subtract, multiply, divide, and compare — with full step-by-step prime factorization.

LCD = LCM of denominators  •  GCD via Euclidean algorithm  •  Up to 6 fractions

Enter Fractions

Enter 2–6 fractions. Add more with the button below.

Result

LCD
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LCD—
GCD (denominators)—
Fractions entered—
Operation—

Equivalent Fractions

Quick Reference

LCD = LCM(d₁, d₂, …) GCD via Euclidean: gcd(a,b)=gcd(b, a mod b) LCM via GCD: lcm(a,b) = |a×b| / gcd(a,b) Add: a/b + c/d = (ad+bc)/bd Sub: a/b − c/d = (ad−bc)/bd Mul: a/b × c/d = ac/bd Div: a/b ÷ c/d = ad/bc