HCF / GCD Calculator (Educational)

What Is HCF or GCD?

HCF (Highest Common Factor) and GCD (Greatest Common Divisor) both represent the same concept. It is the largest positive number that divides two or more numbers exactly.

Understanding the Concept

A factor is a number that divides another number without leaving a remainder. The HCF is the greatest number that is a factor of all given numbers.

Concept Logic Used

Step-by-Step Example

• Numbers: 24 and 36
• Factors of 24: 1, 2, 3, 4, 6, 12, 24
• Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
• Highest common factor = 12

Try the HCF / GCD Calculator

How the Result Is Calculated

The calculator uses the Euclidean algorithm, which repeatedly divides numbers to find the greatest common divisor efficiently.

What You Learn From This Tool

• How factors work in mathematics
• Why HCF is useful in simplification
• The relationship between division and factors

Common Mistakes to Avoid

• Confusing HCF with LCM
• Including zero or negative numbers
• Assuming HCF is always one of the given numbers

Educational Notice: This calculator is provided for learning and understanding purposes only. Results are simplified examples.