# GCD of 8, 72, 48 Calculator

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

GCD of numbers 8, 72, 48 is 8

GCD(8, 72, 48) = 8 ### GCDof 8,72,48 is 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

### Finding GCD of 8, 72, 48 using Prime Factorization

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 23

Multiplying them we get the GCD as 8

### Finding GCD of 8, 72, 48 using LCM Formula

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

### GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

### FAQs on GCD of numbers 8, 72, 48

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.