GCD of 76, 20, 72 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 76, 20, 72 i.e. 4 largest integer that divides all the numbers equally.

GCD of 76, 20, 72 is 4

GCD(76, 20, 72) = 4

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

GCD of

GCD of numbers 76, 20, 72 is 4

GCD(76, 20, 72) = 4

GCD of 76,20,72 Calculator

GCDof 76,20,72 is 4

Given Input numbers are 76, 20, 72

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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

Greatest Common Divisior

We found the divisors of 76, 20, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 20, 72 is 4.

Therefore, GCD of numbers 76, 20, 72 is 4

Finding GCD of 76, 20, 72 using Prime Factorization

Given Input Data is 76, 20, 72

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 20 is 2 x 2 x 5

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

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 76, 20, 72 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(76, 20) = 380

GCD(76, 20) = ( 76 x 20 ) / 380

GCD(76, 20) = 1520 / 380

GCD(76, 20) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

GCD of 76, 20, 72 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 76, 20, 72

1. What is the GCD of 76, 20, 72?

GCD of 76, 20, 72 is 4

2. Where do I get the detailed procedure to find GCD of 76, 20, 72?

You can find a detailed procedure to find GCD of 76, 20, 72 on our page.

3. How to find GCD of 76, 20, 72 on a calculator?

You can find the GCD of 76, 20, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.