GCD of 472, 771, 111, 590 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, 771, 111, 590 i.e. 1 largest integer that divides all the numbers equally.

GCD of 472, 771, 111, 590 is 1

GCD(472, 771, 111, 590) = 1

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

GCD of

GCD of numbers 472, 771, 111, 590 is 1

GCD(472, 771, 111, 590) = 1

GCD of 472,771,111,590 Calculator

GCDof 472,771,111,590 is 1

Given Input numbers are 472, 771, 111, 590

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 472, 771, 111, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 771, 111, 590 is 1.

Therefore, GCD of numbers 472, 771, 111, 590 is 1

Finding GCD of 472, 771, 111, 590 using Prime Factorization

Given Input Data is 472, 771, 111, 590

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 771 is 3 x 257

Prime Factorization of 111 is 3 x 37

Prime Factorization of 590 is 2 x 5 x 59

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

Finding GCD of 472, 771, 111, 590 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, 771) = 363912

GCD(472, 771) = ( 472 x 771 ) / 363912

GCD(472, 771) = 363912 / 363912

GCD(472, 771) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 472, 771, 111, 590 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 472, 771, 111, 590

1. What is the GCD of 472, 771, 111, 590?

GCD of 472, 771, 111, 590 is 1


2. Where do I get the detailed procedure to find GCD of 472, 771, 111, 590?

You can find a detailed procedure to find GCD of 472, 771, 111, 590 on our page.


3. How to find GCD of 472, 771, 111, 590 on a calculator?

You can find the GCD of 472, 771, 111, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.