GCD of 771, 108, 57, 353 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 771, 108, 57, 353 i.e. 1 largest integer that divides all the numbers equally.

GCD of 771, 108, 57, 353 is 1

GCD(771, 108, 57, 353) = 1

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

GCD of

GCD of numbers 771, 108, 57, 353 is 1

GCD(771, 108, 57, 353) = 1

GCD of 771,108,57,353 Calculator

GCDof 771,108,57,353 is 1

Given Input numbers are 771, 108, 57, 353

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 771, 108, 57, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 108, 57, 353 is 1.

Therefore, GCD of numbers 771, 108, 57, 353 is 1

Finding GCD of 771, 108, 57, 353 using Prime Factorization

Given Input Data is 771, 108, 57, 353

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 57 is 3 x 19

Prime Factorization of 353 is 353

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

Finding GCD of 771, 108, 57, 353 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(771, 108) = 27756

GCD(771, 108) = ( 771 x 108 ) / 27756

GCD(771, 108) = 83268 / 27756

GCD(771, 108) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 353

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

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

GCD(3, 353) = 1059 / 1059

GCD(3, 353) = 1

GCD of 771, 108, 57, 353 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 771, 108, 57, 353

1. What is the GCD of 771, 108, 57, 353?

GCD of 771, 108, 57, 353 is 1


2. Where do I get the detailed procedure to find GCD of 771, 108, 57, 353?

You can find a detailed procedure to find GCD of 771, 108, 57, 353 on our page.


3. How to find GCD of 771, 108, 57, 353 on a calculator?

You can find the GCD of 771, 108, 57, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.