GCD of 472, 604, 36, 653 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 472, 604, 36, 653 i.e. 1 largest integer that divides all the numbers equally.

GCD of 472, 604, 36, 653 is 1

GCD(472, 604, 36, 653) = 1

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

GCD of

GCD of numbers 472, 604, 36, 653 is 1

GCD(472, 604, 36, 653) = 1

GCD of 472,604,36,653 Calculator

GCDof 472,604,36,653 is 1

Given Input numbers are 472, 604, 36, 653

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 472, 604, 36, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 604, 36, 653 is 1.

Therefore, GCD of numbers 472, 604, 36, 653 is 1

Finding GCD of 472, 604, 36, 653 using Prime Factorization

Given Input Data is 472, 604, 36, 653

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 653 is 653

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

Finding GCD of 472, 604, 36, 653 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(472, 604) = 71272

GCD(472, 604) = ( 472 x 604 ) / 71272

GCD(472, 604) = 285088 / 71272

GCD(472, 604) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 653

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

LCM(4, 653) = 2612

GCD(4, 653) = ( 4 x 653 ) / 2612

GCD(4, 653) = 2612 / 2612

GCD(4, 653) = 1

GCD of 472, 604, 36, 653 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 472, 604, 36, 653

1. What is the GCD of 472, 604, 36, 653?

GCD of 472, 604, 36, 653 is 1


2. Where do I get the detailed procedure to find GCD of 472, 604, 36, 653?

You can find a detailed procedure to find GCD of 472, 604, 36, 653 on our page.


3. How to find GCD of 472, 604, 36, 653 on a calculator?

You can find the GCD of 472, 604, 36, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.