GCD of 57, 387, 728, 243 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 57, 387, 728, 243 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 387, 728, 243 is 1

GCD(57, 387, 728, 243) = 1

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

GCD of

GCD of numbers 57, 387, 728, 243 is 1

GCD(57, 387, 728, 243) = 1

GCD of 57,387,728,243 Calculator

GCDof 57,387,728,243 is 1

Given Input numbers are 57, 387, 728, 243

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

Divisors of 57

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

1, 3, 19, 57

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 57, 387, 728, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 387, 728, 243 is 1.

Therefore, GCD of numbers 57, 387, 728, 243 is 1

Finding GCD of 57, 387, 728, 243 using Prime Factorization

Given Input Data is 57, 387, 728, 243

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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

Finding GCD of 57, 387, 728, 243 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(57, 387) = 7353

GCD(57, 387) = ( 57 x 387 ) / 7353

GCD(57, 387) = 22059 / 7353

GCD(57, 387) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 728

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

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

GCD(3, 728) = 2184 / 2184

GCD(3, 728) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 57, 387, 728, 243 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 387, 728, 243

1. What is the GCD of 57, 387, 728, 243?

GCD of 57, 387, 728, 243 is 1


2. Where do I get the detailed procedure to find GCD of 57, 387, 728, 243?

You can find a detailed procedure to find GCD of 57, 387, 728, 243 on our page.


3. How to find GCD of 57, 387, 728, 243 on a calculator?

You can find the GCD of 57, 387, 728, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.