GCF & LCM Calculator
Result
GCF & LCM Calculator — free online calculator.
Formula
- GCF & LCM Calculator calculates its result from First Number, Second Number, Third Number (0 = ignore). It uses the formula GCF via Euclidean algorithm · LCM(a,b) = a×b / GCF(a,b) · GCF(a,b,c) = GCF(GCF(a,b),c). Change any input to recalculate the result instantly.
- The main inputs are First Number, Second Number, Third Number. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: GCF & LCM
- First Number: 48
- Second Number: 36
- Third Number: 0 0 = ignore
Euclidean algorithm computes greatest common factors of two or optionally three integers. LCM(a,b) = |ab|/GCF(a,b). Prime factorization is informational, not used in arithmetic.
Sample result: Calculating…
Frequently asked questions
What does the GCF & LCM calculate?
GCF & LCM Calculator — free online calculator.
Which values should I enter?
Enter First Number, Second Number, Third Number using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: GCF via Euclidean algorithm · LCM(a,b) = a×b / GCF(a,b) · GCF(a,b,c) = GCF(GCF(a,b),c).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.