**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 8, 72, 48 i.e. 8 largest integer that divides all the numbers equally.

GCD of 8, 72, 48 is 8

GCD(8, 72, 48) = 8

**Ex:** 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of numbers 8, 72, 48 is 8

GCD(8, 72, 48) = 8

Given Input numbers are 8, 72, 48

To find the GCD of numbers using factoring list out all the divisors of each number

**Divisors of 8**

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

**Divisors of 72**

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

**Divisors of 48**

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

**Greatest Common Divisior**

We found the divisors of 8, 72, 48 . The biggest common divisior number is the **GCD** number.

So the **Greatest Common Divisior 8, 72, 48 ** is **8**.

Therefore, GCD of numbers 8, 72, 48 is 8

Given Input Data is 8, 72, 48

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2^{3}

Multiplying them we get the GCD as 8

**Step1:**

Let's calculate the GCD of first two numbers

The formula of **GCD** is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 72) = 72

GCD(8, 72) = ( 8 x 72 ) / 72

GCD(8, 72) = 576 / 72

GCD(8, 72) = 8

**Step2:**

Here we consider the GCD from the above i.e. 8 as first number and the next as 48

The formula of **GCD** is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 48) = 48

GCD(8, 48) = ( 8 x 48 ) / 48

GCD(8, 48) = 384 / 48

GCD(8, 48) = 8

GCD of 8, 72, 48 is 8

Here are some samples of GCD of Numbers calculations.

**1. What is the GCD of 8, 72, 48?**

GCD of 8, 72, 48 is 8

**2. Where do I get the detailed procedure to find GCD of 8, 72, 48?**

You can find a detailed procedure to find GCD of 8, 72, 48 on our page.

**3. How to find GCD of 8, 72, 48 on a calculator?**

You can find the GCD of 8, 72, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.