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 numbers 432, 568, 323, 678 is 1
GCD(432, 568, 323, 678) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.