GCD of 808, 904, 57, 260 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 808, 904, 57, 260 i.e. 1 largest integer that divides all the numbers equally.

GCD of 808, 904, 57, 260 is 1

GCD(808, 904, 57, 260) = 1

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

GCD of

GCD of numbers 808, 904, 57, 260 is 1

GCD(808, 904, 57, 260) = 1

GCD of 808,904,57,260 Calculator

GCDof 808,904,57,260 is 1

Given Input numbers are 808, 904, 57, 260

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 808, 904, 57, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 904, 57, 260 is 1.

Therefore, GCD of numbers 808, 904, 57, 260 is 1

Finding GCD of 808, 904, 57, 260 using Prime Factorization

Given Input Data is 808, 904, 57, 260

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 57 is 3 x 19

Prime Factorization of 260 is 2 x 2 x 5 x 13

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

Finding GCD of 808, 904, 57, 260 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(808, 904) = 91304

GCD(808, 904) = ( 808 x 904 ) / 91304

GCD(808, 904) = 730432 / 91304

GCD(808, 904) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 57

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

LCM(8, 57) = 456

GCD(8, 57) = ( 8 x 57 ) / 456

GCD(8, 57) = 456 / 456

GCD(8, 57) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 808, 904, 57, 260 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 808, 904, 57, 260

1. What is the GCD of 808, 904, 57, 260?

GCD of 808, 904, 57, 260 is 1


2. Where do I get the detailed procedure to find GCD of 808, 904, 57, 260?

You can find a detailed procedure to find GCD of 808, 904, 57, 260 on our page.


3. How to find GCD of 808, 904, 57, 260 on a calculator?

You can find the GCD of 808, 904, 57, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.