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Common Factor Calculator
Find GCD, LCM, and all common factors of two or more numbers
Enter Numbers
Results
Enter numbers to see factor calculations
About Common Factor Calculator
The Common Factor Calculator helps you find the Greatest Common Divisor (GCD), Least Common Multiple (LCM), and all common factors of two or more numbers. This tool is essential for mathematics, particularly in algebra, number theory, and fraction simplification.
What This Calculator Finds:
- Greatest Common Divisor (GCD): The largest number that divides all input numbers
- Least Common Multiple (LCM): The smallest number that is divisible by all input numbers
- All Common Factors: Complete list of numbers that divide all inputs
- Prime Factorization: Breaking down numbers into their prime components
- Step-by-Step Process: Shows how calculations are performed
How to Use:
- Select how many numbers you want to calculate (2-5 numbers)
- Enter your numbers in the input fields
- Click "Calculate Factors" to see results
- Review the GCD, LCM, and common factors
- Use the step-by-step breakdown to understand the process
Mathematical Concepts:
Greatest Common Divisor (GCD)
Also known as Greatest Common Factor (GCF), it's the largest positive integer that divides each of the integers without a remainder.
Example: GCD(48, 36) = 12
Least Common Multiple (LCM)
The smallest positive integer that is divisible by each of the given integers.
Example: LCM(48, 36) = 144
Relationship Between GCD and LCM
For two numbers a and b: GCD(a,b