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 468, 589, 353, 573 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 589, 353, 573 is 1
GCD(468, 589, 353, 573) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 589, 353, 573 is 1
GCD(468, 589, 353, 573) = 1
Given Input numbers are 468, 589, 353, 573
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 468, 589, 353, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 589, 353, 573 is 1.
Therefore, GCD of numbers 468, 589, 353, 573 is 1
Given Input Data is 468, 589, 353, 573
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 589 is 19 x 31
Prime Factorization of 353 is 353
Prime Factorization of 573 is 3 x 191
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(468, 589) = 275652
GCD(468, 589) = ( 468 x 589 ) / 275652
GCD(468, 589) = 275652 / 275652
GCD(468, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 573) = 573
GCD(1, 573) = ( 1 x 573 ) / 573
GCD(1, 573) = 573 / 573
GCD(1, 573) = 1
GCD of 468, 589, 353, 573 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 589, 353, 573?
GCD of 468, 589, 353, 573 is 1
2. Where do I get the detailed procedure to find GCD of 468, 589, 353, 573?
You can find a detailed procedure to find GCD of 468, 589, 353, 573 on our page.
3. How to find GCD of 468, 589, 353, 573 on a calculator?
You can find the GCD of 468, 589, 353, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.