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, 204, 671, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 204, 671, 569 is 1
GCD(432, 204, 671, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 204, 671, 569 is 1
GCD(432, 204, 671, 569) = 1
Given Input numbers are 432, 204, 671, 569
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 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 432, 204, 671, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 204, 671, 569 is 1.
Therefore, GCD of numbers 432, 204, 671, 569 is 1
Given Input Data is 432, 204, 671, 569
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 204 is 2 x 2 x 3 x 17
Prime Factorization of 671 is 11 x 61
Prime Factorization of 569 is 569
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, 204) = 7344
GCD(432, 204) = ( 432 x 204 ) / 7344
GCD(432, 204) = 88128 / 7344
GCD(432, 204) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 671) = 8052
GCD(12, 671) = ( 12 x 671 ) / 8052
GCD(12, 671) = 8052 / 8052
GCD(12, 671) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
GCD of 432, 204, 671, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 204, 671, 569?
GCD of 432, 204, 671, 569 is 1
2. Where do I get the detailed procedure to find GCD of 432, 204, 671, 569?
You can find a detailed procedure to find GCD of 432, 204, 671, 569 on our page.
3. How to find GCD of 432, 204, 671, 569 on a calculator?
You can find the GCD of 432, 204, 671, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.