Highest Common Factor Cost Calculator

Highest Common Factor Cost Calculator calculator can be used to find the highest common factor (HCF) of two numbers, which is useful in various mathematical calculations, simplifying fractions, and solving Diophantine equations.

Input Parameters

Calculation Results

Calculation Formula

HCF(a, b) = The largest positive integer that divides both a and b without leaving a remainder

Where:
HCF = Highest Common Factor
a, b = Input numbers

Result

Highest Common Factor (HCF): -

Highest Common Factor Calculator Usage Guide

Learn how to use the Highest Common Factor Calculator and understand its mathematical principles

How to Use the Calculator

  1. Enter two positive integers in the input fields for "Number 1" and "Number 2"
  2. Click the "Calculate" button to find the highest common factor
  3. The result will be displayed in the "Highest Common Factor (HCF)" field
  4. Click "Reset" to clear all inputs and results

Mathematical Principles

The Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), of two numbers is the largest number that divides both of them without leaving a remainder.

Example

For example, if you enter 48 and 18:

  • The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  • The factors of 18 are: 1, 2, 3, 6, 9, 18
  • The common factors are: 1, 2, 3, 6
  • The highest common factor is: 6

Applications

HCF is used in various mathematical applications including:

  • Simplifying fractions to their lowest terms
  • Adding or subtracting fractions with different denominators
  • Solving Diophantine equations (equations with integer solutions)
  • Computer algorithms for simplifying expressions and optimizing calculations