What is the HCF/GCD Calculator?
The hcf/gcd calculator is a free online tool that helps you work out hcf/gcd quickly and accurately. It uses the standard formula GCD via Euclid's algorithm; LCM = product / GCD pairwise and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Enter two or more whole numbers.
- See the GCD and LCM.
Formula used
GCD via Euclid's algorithm; LCM = product / GCD pairwiseExplanation of each input
- Numbers (comma separated) โ the numbers (comma separated) used in the calculation.
Understanding your result
- GCD / HCF โ the calculated gcd / hcf.
- LCM โ the calculated lcm.
Step-by-step calculation
For the example values 12, 18, 24:
- Apply the formula:
GCD via Euclid's algorithm; LCM = product / GCD pairwise - Substitute the values: Euclid
- Result: GCD 6; LCM 72
Worked example
| Inputs | 12, 18, 24 |
|---|---|
| Working | Euclid |
| Result | GCD 6; LCM 72 |
Benefits and practical uses
This calculator saves you time and reduces errors when you need hcf/gcd. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- Positive integers.
Frequently asked questions
GCD vs LCM?
GCD is the largest number dividing all of them; LCM is the smallest number they all divide.
Disclaimer: Results are provided for general information. Please verify important figures independently.