GCD of 357, 228, 323, 516 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 357, 228, 323, 516 i.e. 1 largest integer that divides all the numbers equally.

GCD of 357, 228, 323, 516 is 1

GCD(357, 228, 323, 516) = 1

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

GCD of

GCD of numbers 357, 228, 323, 516 is 1

GCD(357, 228, 323, 516) = 1

GCD of 357,228,323,516 Calculator

GCDof 357,228,323,516 is 1

Given Input numbers are 357, 228, 323, 516

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 357, 228, 323, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 228, 323, 516 is 1.

Therefore, GCD of numbers 357, 228, 323, 516 is 1

Finding GCD of 357, 228, 323, 516 using Prime Factorization

Given Input Data is 357, 228, 323, 516

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 323 is 17 x 19

Prime Factorization of 516 is 2 x 2 x 3 x 43

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

Finding GCD of 357, 228, 323, 516 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(357, 228) = 27132

GCD(357, 228) = ( 357 x 228 ) / 27132

GCD(357, 228) = 81396 / 27132

GCD(357, 228) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 323

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

LCM(3, 323) = 969

GCD(3, 323) = ( 3 x 323 ) / 969

GCD(3, 323) = 969 / 969

GCD(3, 323) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 357, 228, 323, 516 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 357, 228, 323, 516

1. What is the GCD of 357, 228, 323, 516?

GCD of 357, 228, 323, 516 is 1


2. Where do I get the detailed procedure to find GCD of 357, 228, 323, 516?

You can find a detailed procedure to find GCD of 357, 228, 323, 516 on our page.


3. How to find GCD of 357, 228, 323, 516 on a calculator?

You can find the GCD of 357, 228, 323, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.