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 605, 595, 438, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 605, 595, 438, 323 is 1
GCD(605, 595, 438, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 605, 595, 438, 323 is 1
GCD(605, 595, 438, 323) = 1
Given Input numbers are 605, 595, 438, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 605, 595, 438, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 595, 438, 323 is 1.
Therefore, GCD of numbers 605, 595, 438, 323 is 1
Given Input Data is 605, 595, 438, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 323 is 17 x 19
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(605, 595) = 71995
GCD(605, 595) = ( 605 x 595 ) / 71995
GCD(605, 595) = 359975 / 71995
GCD(605, 595) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 438) = 2190
GCD(5, 438) = ( 5 x 438 ) / 2190
GCD(5, 438) = 2190 / 2190
GCD(5, 438) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 605, 595, 438, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 605, 595, 438, 323?
GCD of 605, 595, 438, 323 is 1
2. Where do I get the detailed procedure to find GCD of 605, 595, 438, 323?
You can find a detailed procedure to find GCD of 605, 595, 438, 323 on our page.
3. How to find GCD of 605, 595, 438, 323 on a calculator?
You can find the GCD of 605, 595, 438, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.