GCD of 777, 687, 635, 339 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 777, 687, 635, 339 i.e. 1 largest integer that divides all the numbers equally.

GCD of 777, 687, 635, 339 is 1

GCD(777, 687, 635, 339) = 1

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

GCD of

GCD of numbers 777, 687, 635, 339 is 1

GCD(777, 687, 635, 339) = 1

GCD of 777,687,635,339 Calculator

GCDof 777,687,635,339 is 1

Given Input numbers are 777, 687, 635, 339

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 777, 687, 635, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 687, 635, 339 is 1.

Therefore, GCD of numbers 777, 687, 635, 339 is 1

Finding GCD of 777, 687, 635, 339 using Prime Factorization

Given Input Data is 777, 687, 635, 339

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 687 is 3 x 229

Prime Factorization of 635 is 5 x 127

Prime Factorization of 339 is 3 x 113

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

Finding GCD of 777, 687, 635, 339 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(777, 687) = 177933

GCD(777, 687) = ( 777 x 687 ) / 177933

GCD(777, 687) = 533799 / 177933

GCD(777, 687) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 635

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

LCM(3, 635) = 1905

GCD(3, 635) = ( 3 x 635 ) / 1905

GCD(3, 635) = 1905 / 1905

GCD(3, 635) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 777, 687, 635, 339 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 777, 687, 635, 339

1. What is the GCD of 777, 687, 635, 339?

GCD of 777, 687, 635, 339 is 1


2. Where do I get the detailed procedure to find GCD of 777, 687, 635, 339?

You can find a detailed procedure to find GCD of 777, 687, 635, 339 on our page.


3. How to find GCD of 777, 687, 635, 339 on a calculator?

You can find the GCD of 777, 687, 635, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.