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GCD & LCM Calculator

Math Calculators

Greatest common divisor and least common multiple

Quick Answer

GCD & LCM Calculator: Greatest common divisor and least common multiple. GCD & LCM Calculator uses standard math formulas to compute accurate results instantly.

Integers (2+)

GCD (greatest common divisor)

12

LCM (least common multiple)

720

Count2
GCD × LCM8640
Product (2 nums)8640
Coprime?No

Euclidean algorithm steps

  1. 1180 = 3 × 48 + 36
  2. 248 = 1 × 36 + 12
  3. 336 = 3 × 12 + 0
  4. 4GCD(48, 180) = 12
  5. 5LCM = |a×b| ÷ GCD = 8640 ÷ 12 = 720

Prime factorizations

nFactorization
482^4 × 3
1802^2 × 3^2 × 5

💡 GCD via prime factors: take the LOWEST power of each shared prime; LCM takes the HIGHEST power of every prime. For two numbers: GCD × LCM = |a × b|.

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How to Use

  1. Enter values or expressions: type directly into the GCD & LCM Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • GCD & LCM Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Greatest common divisor and least common multiple.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

GCD & LCM Calculator formula

GCD & LCM Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the GCD & LCM Calculator?
Open the page and fill in the input fields — results update automatically. Greatest common divisor and least common multiple.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

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Cite this page: YiJianSuan. GCD & LCM Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/gcd-lcm

Results provided by this tool are for reference only and do not constitute professional advice.