GCD of 763, 327, 38, 676 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 763, 327, 38, 676 i.e. 1 largest integer that divides all the numbers equally.

GCD of 763, 327, 38, 676 is 1

GCD(763, 327, 38, 676) = 1

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

GCD of

GCD of numbers 763, 327, 38, 676 is 1

GCD(763, 327, 38, 676) = 1

GCD of 763,327,38,676 Calculator

GCDof 763,327,38,676 is 1

Given Input numbers are 763, 327, 38, 676

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 763, 327, 38, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 327, 38, 676 is 1.

Therefore, GCD of numbers 763, 327, 38, 676 is 1

Finding GCD of 763, 327, 38, 676 using Prime Factorization

Given Input Data is 763, 327, 38, 676

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 327 is 3 x 109

Prime Factorization of 38 is 2 x 19

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

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

Finding GCD of 763, 327, 38, 676 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(763, 327) = 2289

GCD(763, 327) = ( 763 x 327 ) / 2289

GCD(763, 327) = 249501 / 2289

GCD(763, 327) = 109


Step2:

Here we consider the GCD from the above i.e. 109 as first number and the next as 38

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

LCM(109, 38) = 4142

GCD(109, 38) = ( 109 x 38 ) / 4142

GCD(109, 38) = 4142 / 4142

GCD(109, 38) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 763, 327, 38, 676 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 763, 327, 38, 676

1. What is the GCD of 763, 327, 38, 676?

GCD of 763, 327, 38, 676 is 1


2. Where do I get the detailed procedure to find GCD of 763, 327, 38, 676?

You can find a detailed procedure to find GCD of 763, 327, 38, 676 on our page.


3. How to find GCD of 763, 327, 38, 676 on a calculator?

You can find the GCD of 763, 327, 38, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.