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Last updated on June 25th, 2025

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HCF of 3 Numbers Calculator

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A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving number theory. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the HCF of 3 Numbers Calculator.

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What is the HCF of 3 Numbers Calculator

The HCF of 3 Numbers Calculator is a tool designed for calculating the highest common factor (HCF) of three numbers.

 

The HCF, also known as the greatest common divisor (GCD), is the largest positive integer that divides all the numbers without leaving a remainder.

 

This concept is fundamental in number theory and helps simplify fractions or solve problems involving divisibility.

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How to Use the HCF of 3 Numbers Calculator

For calculating the HCF of three numbers using the calculator, we need to follow the steps below -

 

Step 1: Input: Enter the three numbers

 

Step 2: Click: Calculate HCF. By doing so, the numbers we have given as input will get processed

 

Step 3: You will see the HCF of the three numbers in the output column

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Tips and Tricks for Using the HCF of 3 Numbers Calculator

Mentioned below are some tips to help you get the right answer using the HCF of 3 Numbers Calculator.

 

Know the method: The HCF is calculated by identifying the largest number that divides all the given numbers without a remainder.

 

Use the Right Numbers: Ensure that the numbers are whole numbers.

 

The HCF is defined only for integers. Enter correct Numbers: When entering the numbers, make sure they are accurate.

 

Small mistakes can lead to incorrect results, especially with larger numbers.

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Common Mistakes and How to Avoid Them When Using the HCF of 3 Numbers Calculator

Calculators mostly help us with quick solutions.

 

For calculating complex math questions, students must know the intricate features of a calculator.

 

Given below are some common mistakes and solutions to tackle these mistakes.

Mistake 1

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Rounding off too soon

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Rounding the numbers too soon can lead to wrong results.

 

Ensure to use whole numbers for calculations to get an accurate HCF.

Mistake 2

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Entering the wrong number

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Make sure to double-check the numbers you are going to enter. If you enter '18' instead of '81', the result will be incorrect.

Mistake 3

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Confusing HCF with LCM

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The HCF is the greatest number that divides all the given numbers, whereas the LCM is the smallest number that all the given numbers divide.

 

Using the wrong concept will give the wrong result.

Mistake 4

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Relying too much on the calculator.

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The calculator gives an estimate. Understanding the basic concept of HCF helps in verifying if the calculated result is reasonable.

Mistake 5

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Using negative numbers

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Always use positive integers to calculate the HCF.

 

Although technically possible, using negative numbers can be confusing and is generally not standard practice.

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HCF of 3 Numbers Calculator Examples

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Problem 1

Help Sarah find the HCF of 36, 60, and 84.

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We find the HCF to be 12.

Explanation

To find the HCF, we identify the largest number that divides all three numbers: 36, 60, and 84.

 

The factors common to all are 2, 3, and their product: 12.

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Problem 2

The numbers 48, 72, and 120 are given. What is their HCF?

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The HCF is 24.

Explanation

To find the HCF, we identify the largest number that divides all three numbers: 48, 72, and 120.

 

The factors common to all are 2, 3, and their product: 24.

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Problem 3

Find the HCF of 54, 90, and 150. After finding the HCF, multiply it by 5.

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We will get the product as 30.

Explanation

HCF of 54, 90, and 150 is 6. Multiply the HCF by 5, which results in 30.

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Problem 4

The numbers 18, 27, and 45 are given. Find their HCF.

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We find the HCF to be 9.

Explanation

The largest number that divides 18, 27, and 45 without a remainder is 9.

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Problem 5

John is working with the numbers 24, 36, and 96. Help him find the HCF.

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The HCF is 12.

Explanation

The largest number that divides 24, 36, and 96 without a remainder is 12.

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FAQs on Using the HCF of 3 Numbers Calculator

1.What is the HCF?

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2.What if one of the numbers is zero?

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3.Can the HCF be greater than any of the numbers?

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4.What units are used to represent the HCF?

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5.Can we use this calculator for more than three numbers?

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Important Glossary for the HCF of 3 Numbers Calculator

  • HCF: The highest common factor, or the largest integer that divides all given numbers without a remainder.

 

  • Factor: A number that divides another number without leaving a remainder.

 

  • Divisor: Another term for factor, often used interchangeably. Integer:

 

  • A whole number that can be positive, negative, or zero.

 

  • Divisibility: A concept that describes whether one number can be divided by another without leaving a remainder.
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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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