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 357, 594, 724, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 594, 724, 604 is 1
GCD(357, 594, 724, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 594, 724, 604 is 1
GCD(357, 594, 724, 604) = 1
Given Input numbers are 357, 594, 724, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 357, 594, 724, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 594, 724, 604 is 1.
Therefore, GCD of numbers 357, 594, 724, 604 is 1
Given Input Data is 357, 594, 724, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 604 is 2 x 2 x 151
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(357, 594) = 70686
GCD(357, 594) = ( 357 x 594 ) / 70686
GCD(357, 594) = 212058 / 70686
GCD(357, 594) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 724) = 2172
GCD(3, 724) = ( 3 x 724 ) / 2172
GCD(3, 724) = 2172 / 2172
GCD(3, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 357, 594, 724, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 594, 724, 604?
GCD of 357, 594, 724, 604 is 1
2. Where do I get the detailed procedure to find GCD of 357, 594, 724, 604?
You can find a detailed procedure to find GCD of 357, 594, 724, 604 on our page.
3. How to find GCD of 357, 594, 724, 604 on a calculator?
You can find the GCD of 357, 594, 724, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.