GCF Calculator: Find GCF and LCM for Multiple Numbers

This gcf calculator finds the Greatest Common Factor and Least Common Multiple for your numbers. Enter two or more positive integers separated by commas. It uses the Euclidean algorithm to give accurate results fast. You see both GCF and LCM in one go.

How Does the GCF Calculator Work?

It reads your input and trims spaces to build a list of whole numbers. Next it finds the GCF across the list using the Euclidean algorithm. It then finds the LCM across the same list using GCF. LCM uses the formula a times b divided by GCF of a and b.

How to Use This Tool

1. Type two or more positive integers into the numbers box.
2. Separate values with commas only.
3. Click Calculate to see GCF and LCM.
4. Press Enter to calculate from the box.
5. Hold Shift and press Enter to add a new line.
6. Click Clear to reset the box and results.

• Numbers box: Enter at least two positive integers. Example input: 12, 18 and 24.
• Calculate button: Runs the math and shows both results.
• Clear button: Wipes the input and hides results.
• Results area: Displays GCF and LCM in large type.

Here is how to read the output.

• GCF is the largest whole number that divides all inputs exactly.
• LCM is the smallest whole number that all inputs divide into cleanly.
• Example: For 12, 18 and 24 the GCF is 6.
• Example: For 12, 18 and 24 the LCM is 72.

Why Use This Calculator?

Use this gcf calculator for quick checks at school or work. It handles many numbers at once with clear results. LCM helps with schedules and common denominators.

• Simplify 42 over 56 to 3 over 4 using GCF 14.
• Find a common denominator for 6 and 8 using LCM 24.
• Plan events that repeat every 3 days and 4 days.
• Align parts that cycle every 5 and 7 steps.

Enter clean comma separated lists for best results. Use small sets first if the list is long. Spot check one pair before the full set.

Useful Features

• GCF for two or more numbers.
• LCM for the same set.
• Accepts spaces after commas.
• Shows thousands separators on large numbers.
• Enter key runs the calculation.
• Clear button resets input and results.
• Helpful error messages guide your input.

• Use whole numbers greater than zero.
• Input requires at least two numbers.
• Skip decimals, fractions and negative values.
• Very large inputs can produce very large LCM values.
• Duplicates and order leave results unchanged.

Final Thoughts

This gcf calculator gives fast, clear GCF and LCM for your list. Enter your numbers then click Calculate for instant results. Keep it open for homework, labs, or quick checks.