GCD of 72, 212, 883, 656 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 72, 212, 883, 656 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 212, 883, 656 is 1

GCD(72, 212, 883, 656) = 1

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

GCD of

GCD of numbers 72, 212, 883, 656 is 1

GCD(72, 212, 883, 656) = 1

GCD of 72,212,883,656 Calculator

GCDof 72,212,883,656 is 1

Given Input numbers are 72, 212, 883, 656

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

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 72, 212, 883, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 212, 883, 656 is 1.

Therefore, GCD of numbers 72, 212, 883, 656 is 1

Finding GCD of 72, 212, 883, 656 using Prime Factorization

Given Input Data is 72, 212, 883, 656

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

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 883 is 883

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 72, 212, 883, 656 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(72, 212) = 3816

GCD(72, 212) = ( 72 x 212 ) / 3816

GCD(72, 212) = 15264 / 3816

GCD(72, 212) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 883

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

LCM(4, 883) = 3532

GCD(4, 883) = ( 4 x 883 ) / 3532

GCD(4, 883) = 3532 / 3532

GCD(4, 883) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 72, 212, 883, 656 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 72, 212, 883, 656

1. What is the GCD of 72, 212, 883, 656?

GCD of 72, 212, 883, 656 is 1


2. Where do I get the detailed procedure to find GCD of 72, 212, 883, 656?

You can find a detailed procedure to find GCD of 72, 212, 883, 656 on our page.


3. How to find GCD of 72, 212, 883, 656 on a calculator?

You can find the GCD of 72, 212, 883, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.