GCD of 574, 864, 393 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 574, 864, 393 i.e. 1 largest integer that divides all the numbers equally.

GCD of 574, 864, 393 is 1

GCD(574, 864, 393) = 1

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

GCD of

GCD of numbers 574, 864, 393 is 1

GCD(574, 864, 393) = 1

GCD of 574,864,393 Calculator

GCDof 574,864,393 is 1

Given Input numbers are 574, 864, 393

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 574, 864, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 864, 393 is 1.

Therefore, GCD of numbers 574, 864, 393 is 1

Finding GCD of 574, 864, 393 using Prime Factorization

Given Input Data is 574, 864, 393

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 393 is 3 x 131

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

Finding GCD of 574, 864, 393 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(574, 864) = 247968

GCD(574, 864) = ( 574 x 864 ) / 247968

GCD(574, 864) = 495936 / 247968

GCD(574, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 393

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

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

GCD(2, 393) = 786 / 786

GCD(2, 393) = 1

GCD of 574, 864, 393 is 1

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FAQs on GCD of numbers 574, 864, 393

1. What is the GCD of 574, 864, 393?

GCD of 574, 864, 393 is 1

2. Where do I get the detailed procedure to find GCD of 574, 864, 393?

You can find a detailed procedure to find GCD of 574, 864, 393 on our page.

3. How to find GCD of 574, 864, 393 on a calculator?

You can find the GCD of 574, 864, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.