GCD of 772, 311, 268, 535 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, 311, 268, 535 i.e. 1 largest integer that divides all the numbers equally.

GCD of 772, 311, 268, 535 is 1

GCD(772, 311, 268, 535) = 1

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

GCD of

GCD of numbers 772, 311, 268, 535 is 1

GCD(772, 311, 268, 535) = 1

GCD of 772,311,268,535 Calculator

GCDof 772,311,268,535 is 1

Given Input numbers are 772, 311, 268, 535

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 772, 311, 268, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 311, 268, 535 is 1.

Therefore, GCD of numbers 772, 311, 268, 535 is 1

Finding GCD of 772, 311, 268, 535 using Prime Factorization

Given Input Data is 772, 311, 268, 535

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 311 is 311

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 535 is 5 x 107

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

Finding GCD of 772, 311, 268, 535 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, 311) = 240092

GCD(772, 311) = ( 772 x 311 ) / 240092

GCD(772, 311) = 240092 / 240092

GCD(772, 311) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 772, 311, 268, 535 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 772, 311, 268, 535

1. What is the GCD of 772, 311, 268, 535?

GCD of 772, 311, 268, 535 is 1


2. Where do I get the detailed procedure to find GCD of 772, 311, 268, 535?

You can find a detailed procedure to find GCD of 772, 311, 268, 535 on our page.


3. How to find GCD of 772, 311, 268, 535 on a calculator?

You can find the GCD of 772, 311, 268, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.