HCF of 4 Numbers Calculator

HCF Stands for Highest Common Factor. HCF of a set of given whole numbers is the highest positive integer that divides equally into all numbers with zero remainders. It is also known as Greatest Common Factor(GCF), Greatest Common Divisor & Denominator (GCD). For instance, solve the HCF of a, b, c, d then the HCF is given by HCF(a, b, c, d).

You can determine the highest common factor of 4 numbers easily by using free online & handy tools like HCF of 4 Numbers Calculator or else solve the largest common factor for given four integers by hand with the help of various methods like given below. The methods that are supported to find out HCF of 4 numbers are as under

• Using List of Factors Method
• Using Prime Factorization
• Using Euclid's Algorithm

Check out the detailed procedure on finding the HCF using these three methods along with solved examples from the below modules.

How to Find Out HCF of 4 Numbers by List of Factors Method?

• First, consider the four numbers and then list out the factors that divide the given numbers with zero remainders./li>
• Now, list out the common factors from the factors of four numbers.
• Later, find out the largest common factor from the list and that number will be the Highest Common Factor of 4 numbers.

Example:

Solve the HCF of 12, 24, 36, 80 by Factoring?

Solution:

Initially, consider the given four integers 12, 24, 36, 80, and find out the factors for each number.

Step - 1: List out the Factors for each number

The factors of 12 are 1, 2, 3, 4, 6, 12

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Step - 2: List out the common factors from the given numbers factor list

The common factors of 12, 24, 36, 80 are 1, 2, and 4. Then, the largest common factor is 4.

Therefore, HCF of 4 numbers 12, 24, 36, 80 is 4.

Steps to Solve Highest Common Factor of 4 Numbers Using Prime Factorization

Go to the below steps & follow them properly to solve the HCF of given four numbers using the simplest method ie., Prime Factorization. The steps are as follows:

• At the initial step, you need to compute each number as a product of prime factors by taking help from our prime factorization calculator.
• Next, calculate the product of all common prime factors using the small power of each common prime factor.
• At last, the HCF of 4 Numbers is the product of all common prime factors.

Example:

Find the highest common factor of 33, 45, 12, 66

Solution:

Given 4 numbers are 33, 45, 12, and 66

Prime Factorisation of 33 = 3 x 11 = 3¹ x 11¹

Prime Factorisation of 45 = 3 x 3 x 5 = 3² x 5¹

prime factorisation of 12 = 2 x 2 x 3 = 2² x 3¹

prime factorisation of 66 = 2 x 3 x 11 = 2¹ x 3¹ x 11¹

HCF of 33, 45, 12, and 66 is the product of highest occurences of all common prime factors, ie., 3 is the common prime factor from all the list of 4 prime factorization.

Thus, the HCF of 33, 45, 12, and 66 is 3.

Process To Find HCF of four numbers using Euclid's Algorithm

Detailed Step-wise process to determine the HCF of 4 numbers Using Euclid’s Algorithm is given here. Check it out & follow the steps properly for the largest factor of given numbers:

• Initially, consider two numbers and then apply Euclid's algorithm ie., subtract the small number from the big number and write down the output.
• Next minus the small number from the outcome in step-1. Repeat the same process till you get the less number than the actual small number.
• Now, you have to consider a small integer as a large one and minus the output you get in step-2. Continue the same process for each bigger number and smaller number until you attain the Zero.
• Finally, after getting the zero, the HCF of the given numbers is the number you obtain right before the 0.

Example:

Find out HCF of 15, 25, 75, 105 using Euclid's Algorithm?

Solution:

Given 4 numbers are 15, 25, 75, 105

The method that we are using to solve the HCF of 15, 25, 75, 105 is Euclid's Algorithm

In step 1, we have to solve the largest number of two numbers and then we use its outcome with the 3rd number and then the result with the 4th one to find the Highest common factor of 4 numbers.

Let's start HCF (105, 75)

Here we get,

105 - 75 = 30

75 - 30 = 45

45 - 30 = 15

30 - 15 = 15

15 - 5 - 5 - 5 = 0

So, the HCF of 105 and 75 is 5.

Now let’s check the HCF of 3rd number, 25, and our result is also 5, HCF (5, 25)

25 – 5 – 5 – 5 – 5 – 5 = 0

So, the HCF of 25 and 5 is 5.

Now let's check the HCF of 4th number, 15 and with the result ie., 5, HCF(5, 15)

15 – 5 – 5 – 5 = 0

Thus, the Highest Common Factor of 15, 25, 75, and 105 is 5.

Uses of Greatest common factor 

The greatest common factor is used to split things into smaller sections, to arrange something into rows or groups.

Effective Estimation: 

The greatest common factor is used to make an estimate, like, When you are planning for a party and want to assure that nothing gets wasted or you want a reasonable analysis, you can use the concept of GCF to figure it out.

Distribute things: GCF is an important technique that facilitates us to distribute things equally among a group or set. Let’s take an example of distributing 20 flowers and 40 sweets among ten children, so here we will give each child two flowers and four sweets.

Optimization of resource: One can use GCF to calculate the minimum number of square towels that can be cut from a ream of cloth of a particular length and width without wasting any cloth.

Arrange things in rows and groups: To store things in a neat and orderly manner, we can use the concept of GCF. 

How do You find the HCF of 4 Numbers? 

We can find the HCF of 4 numbers easily by the prime factorization method. 

1. Firstly, Do the prime factorization of the numbers & list their factors.
2. Mark the common prime factors.
3. Multiply the common prime factors with the lowest exponential power, their product is HCF.

Solved Example for HCF Calculation With Steps

Example:

Find the HCF of 10, 50, 58 and 82.

Solution:

Let's list their factors first, 

10: 2, 5 and 10.

50: 2,5,10,25 and 50.

58: 2, 29 and 58.

82: 2, 41 and 82

As it can be observed that 2 is the only prime factor common among the numbers. 

Therefore, HCF(10, 50, 58, 82) = 2

 Visit hcflcm.com to get ahold of such calculators to help you with calculations.

FAQs on HCF of 4 Number Calculator Online

• What is the HCF calculator?

The HCF calculator is used in quickly calculate the HCF of multiple numbers in a single click. HCF is also referred to as GCF.

• What is the HCF of 24 and 36?

The highest common factor for the given numbers is 12.

• What are the three methods of HCF?

The three major methods to find the HCF are, the division method, prime factorization method and factorization method.