GCD of 432, 568, 323, 678 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 432, 568, 323, 678 i.e. 1 largest integer that divides all the numbers equally.

GCD of 432, 568, 323, 678 is 1

GCD(432, 568, 323, 678) = 1

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

GCD of

GCD of numbers 432, 568, 323, 678 is 1

GCD(432, 568, 323, 678) = 1

GCD of 432,568,323,678 Calculator

GCDof 432,568,323,678 is 1

Given Input numbers are 432, 568, 323, 678

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 323

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

1, 17, 19, 323

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 432, 568, 323, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 568, 323, 678 is 1.

Therefore, GCD of numbers 432, 568, 323, 678 is 1

Finding GCD of 432, 568, 323, 678 using Prime Factorization

Given Input Data is 432, 568, 323, 678

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 323 is 17 x 19

Prime Factorization of 678 is 2 x 3 x 113

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

Finding GCD of 432, 568, 323, 678 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(432, 568) = 30672

GCD(432, 568) = ( 432 x 568 ) / 30672

GCD(432, 568) = 245376 / 30672

GCD(432, 568) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 323

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

LCM(8, 323) = 2584

GCD(8, 323) = ( 8 x 323 ) / 2584

GCD(8, 323) = 2584 / 2584

GCD(8, 323) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 432, 568, 323, 678 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 432, 568, 323, 678

1. What is the GCD of 432, 568, 323, 678?

GCD of 432, 568, 323, 678 is 1


2. Where do I get the detailed procedure to find GCD of 432, 568, 323, 678?

You can find a detailed procedure to find GCD of 432, 568, 323, 678 on our page.


3. How to find GCD of 432, 568, 323, 678 on a calculator?

You can find the GCD of 432, 568, 323, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.