GCD of 472, 676, 266, 365 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, 676, 266, 365 i.e. 1 largest integer that divides all the numbers equally.

GCD of 472, 676, 266, 365 is 1

GCD(472, 676, 266, 365) = 1

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

GCD of

GCD of numbers 472, 676, 266, 365 is 1

GCD(472, 676, 266, 365) = 1

GCD of 472,676,266,365 Calculator

GCDof 472,676,266,365 is 1

Given Input numbers are 472, 676, 266, 365

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 472, 676, 266, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 676, 266, 365 is 1.

Therefore, GCD of numbers 472, 676, 266, 365 is 1

Finding GCD of 472, 676, 266, 365 using Prime Factorization

Given Input Data is 472, 676, 266, 365

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 365 is 5 x 73

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

Finding GCD of 472, 676, 266, 365 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, 676) = 79768

GCD(472, 676) = ( 472 x 676 ) / 79768

GCD(472, 676) = 319072 / 79768

GCD(472, 676) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 266

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

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

GCD(4, 266) = 1064 / 532

GCD(4, 266) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

GCD of 472, 676, 266, 365 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 472, 676, 266, 365

1. What is the GCD of 472, 676, 266, 365?

GCD of 472, 676, 266, 365 is 1


2. Where do I get the detailed procedure to find GCD of 472, 676, 266, 365?

You can find a detailed procedure to find GCD of 472, 676, 266, 365 on our page.


3. How to find GCD of 472, 676, 266, 365 on a calculator?

You can find the GCD of 472, 676, 266, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.