**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Utilize this Highest Common Factor of 4 Numbers Calculator to determine the largest common factor of given integers. All you need to do is simply enter the given four numbers in the calculator input box and hit the Calculate button to find HCF of 4 numbers quickly and display the output with detailed steps in less time.

**Ex: **HCF of 10, 25, 40, 45 (or) HCF of 24, 48, 96, 16 (or) HCF of 78, 88, 98, 108

**Here are some samples of HCF of 4 Numbers calculations.**

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**HCF of 4 Numbers Calculator:** Solving the Highest Common Factor of four numbers is a difficult math problem for students. Not anymore without provided HCF of 4 Numbers Calculator. It helps students to determine the HCF of four numbers in a fraction of seconds. By just entering the inputs, it will display the result along with a detailed explanation. Apart from the illustrated solution, you can also learn the full concept about the Highest Common Factor of numbers by referring to the below provided definition, procedure to find HCF using various methods with enough solved examples. So, take a look at the further sections as well.

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 = 3^{1} x 11^{1}

Prime Factorisation of 45 = 3 x 3 x 5 = 3^{2} x 5^{1}

prime factorisation of 12 = 2 x 2 x 3 = 2^{2} x 3^{1}

prime factorisation of 66 = 2 x 3 x 11 = 2^{1} x 3^{1} x 11^{1}

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.

**1. What is the abbreviation of HCF?**

HCF abbreviation is the Highest Common Factor.

**2. How to find the HCF of 4 numbers using a Calculator?**

Just enter the four numbers in the inputs box and then tap on the calculate button to attain the result of HCF of 4 numbers in the blink of an eye.

**3. How to Solve the Highest Common Factor of Four Numbers?**

You can solve HCF of 4 numbers by using four different methods as per the given numbers. Check out each of the methods of solving the highest common factor of 4 numbers from our page along with the detailed procedure and solved examples.

**4. Which Website Offers Free Online HCF of 4 Numbers Calculator?**

Lcmgcf.com is a reliable and genuine website that provides the best & free online calculator to determine the Highest common factor of four numbers with show work.