GCD of 676, 604, 877, 208 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 676, 604, 877, 208 i.e. 1 largest integer that divides all the numbers equally.

GCD of 676, 604, 877, 208 is 1

GCD(676, 604, 877, 208) = 1

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

GCD of

GCD of numbers 676, 604, 877, 208 is 1

GCD(676, 604, 877, 208) = 1

GCD of 676,604,877,208 Calculator

GCDof 676,604,877,208 is 1

Given Input numbers are 676, 604, 877, 208

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

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 604

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

1, 2, 4, 151, 302, 604

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 676, 604, 877, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 604, 877, 208 is 1.

Therefore, GCD of numbers 676, 604, 877, 208 is 1

Finding GCD of 676, 604, 877, 208 using Prime Factorization

Given Input Data is 676, 604, 877, 208

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 877 is 877

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

Finding GCD of 676, 604, 877, 208 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(676, 604) = 102076

GCD(676, 604) = ( 676 x 604 ) / 102076

GCD(676, 604) = 408304 / 102076

GCD(676, 604) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 877

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

LCM(4, 877) = 3508

GCD(4, 877) = ( 4 x 877 ) / 3508

GCD(4, 877) = 3508 / 3508

GCD(4, 877) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 676, 604, 877, 208 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 676, 604, 877, 208

1. What is the GCD of 676, 604, 877, 208?

GCD of 676, 604, 877, 208 is 1


2. Where do I get the detailed procedure to find GCD of 676, 604, 877, 208?

You can find a detailed procedure to find GCD of 676, 604, 877, 208 on our page.


3. How to find GCD of 676, 604, 877, 208 on a calculator?

You can find the GCD of 676, 604, 877, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.