HCF Calculator (GCD) | Find Highest Common Factor Step-by-Step

HCF Calculator (GCD/GCM)

Enter two or more numbers separated by commas

What is HCF (Highest Common Factor)?

The Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), is the largest number that divides two or more numbers without leaving a remainder. It’s a fundamental concept in mathematics used in simplifying fractions, solving equations, and more. Use our HCF Calculator above to find the HCF of any numbers instantly.

How to Use Our HCF Calculator?

Finding the HCF is quick and easy with our online tool:

  • Enter the numbers in the input box (e.g., 24, 36, 48).
  • Separate each number with a comma.
  • Click the "Calculate HCF" button to see the result.
  • Explore detailed steps using multiple methods like Euclidean Algorithm, Prime Factorization, and more.

Methods to Calculate HCF

There are several ways to find the HCF of numbers:

  • Euclidean Algorithm: A fast method that repeatedly divides numbers and uses remainders until reaching zero.
  • Prime Factorization: Find the prime factors of each number and multiply the common factors with their lowest powers.
  • Factor Listing: List all factors of the numbers and identify the largest common factor.
  • Division Method: Use division steps to reduce numbers until the HCF is found.

Our calculator shows all these methods with step-by-step explanations for better understanding.

Why Use Our HCF Calculator?

Perfect for students of classes 6 to 10 (NCERT, JAC Board, JCERT), teachers, and math enthusiasts, our HCF Calculator offers:

  • Instant and accurate HCF results.
  • Educational breakdowns of each method.
  • A free tool to verify manual calculations.

Example of Finding HCF

Let’s calculate the HCF of 24 and 36:

  • Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
  • Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
  • Common factors: 1, 2, 3, 4, 6, 12
  • HCF = 12 (largest common factor)

Try this example in our calculator above to see all methods in action!

Enhance Your Math Skills with LCM and HCF

Mastering HCF is key to understanding related concepts like LCM (Least Common Multiple) and number theory. Check out our LCM Calculator for more tools and resources to boost your math skills.