GCD of 772, 287, 381, 507 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 772, 287, 381, 507 i.e. 1 largest integer that divides all the numbers equally.

GCD of 772, 287, 381, 507 is 1

GCD(772, 287, 381, 507) = 1

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

GCD of

GCD of numbers 772, 287, 381, 507 is 1

GCD(772, 287, 381, 507) = 1

GCD of 772,287,381,507 Calculator

GCDof 772,287,381,507 is 1

Given Input numbers are 772, 287, 381, 507

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 772, 287, 381, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 287, 381, 507 is 1.

Therefore, GCD of numbers 772, 287, 381, 507 is 1

Finding GCD of 772, 287, 381, 507 using Prime Factorization

Given Input Data is 772, 287, 381, 507

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 287 is 7 x 41

Prime Factorization of 381 is 3 x 127

Prime Factorization of 507 is 3 x 13 x 13

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

Finding GCD of 772, 287, 381, 507 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(772, 287) = 221564

GCD(772, 287) = ( 772 x 287 ) / 221564

GCD(772, 287) = 221564 / 221564

GCD(772, 287) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 772, 287, 381, 507 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 772, 287, 381, 507

1. What is the GCD of 772, 287, 381, 507?

GCD of 772, 287, 381, 507 is 1


2. Where do I get the detailed procedure to find GCD of 772, 287, 381, 507?

You can find a detailed procedure to find GCD of 772, 287, 381, 507 on our page.


3. How to find GCD of 772, 287, 381, 507 on a calculator?

You can find the GCD of 772, 287, 381, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.