HCF Calculator
The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers. HCF can be found using the prime factorization method and the long division method. HEre, we aim to determine the HCF of numbers using the HCF calculator for quick calculations.
What is an HCF Calculator?
HCF Calculator is an online tool that helps to calculate the HCF for the given numbers. This online HCF Calculator helps to calculate the highest common factor in a few seconds.
HCF Calculator
How to Use the HCF Calculator?
Please follow the steps below to find the HCF of given numbers using an online HCF calculator:
- Step 1: Go to Cuemath’s online HCF calculator.
- Step 2: Choose the Inputs as "2" or "3" according to the requirement of numbers whose HCF is to be found.
- Step 3: Enter whole numbers in the given input boxes of the HCF calculator.
- Step 4: Click on the "Calculate" button to find the HCF of the numbers.
- Step 5: Click on the "Reset" button to clear the fields and enter the new set of numbers.
How to Find HCF?
HCF is the largest positive integer that divides each of the two integers. HCF (Highest Common Factor) is also known as GCD (Greatest Common Divisor).
- Step 1: Find the common factors that divide the input values without leaving any remainder.
- Step 2: From all the common factors, choose the greatest number which is known as GCF.
Solved Examples on HCF Calculator
Example 1:
Find the HCF of 4 and 8 and verify it using the HCF calculator.
Solution:
The factors of 4 are : {1,2,4}
The factors of 8 are : {1,2,4,8}
The common factors that divide 4 and 8 without leaving any remainder are 1, 2, and 4. Out of these three, 4 is the highest.
Therefore, HCF of (4, 8) = 4
Example 2:
Find the HCF of 12 and 20 and verify it using the HCF calculator.
Solution:
The factors of 12 are : {1,2,3,4,6,12}
The factors of 20 are : {1,2,4,5,10,20}
The common factors that divide 4 and 8 without leaving any remainder are 1, 2, and 4. Out of these three, 4 is the highest.
Therefore, HCF of (4, 8) = 4
Similarly, you can use the HCF calculator and find the HCF of the following numbers:
- 40 and 90
- 26 and 150
- 300 and 350