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 389, 623, 52, 724 i.e. 1 largest integer that divides all the numbers equally.
GCD of 389, 623, 52, 724 is 1
GCD(389, 623, 52, 724) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 389, 623, 52, 724 is 1
GCD(389, 623, 52, 724) = 1
Given Input numbers are 389, 623, 52, 724
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 389, 623, 52, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 623, 52, 724 is 1.
Therefore, GCD of numbers 389, 623, 52, 724 is 1
Given Input Data is 389, 623, 52, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 389 is 389
Prime Factorization of 623 is 7 x 89
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 724 is 2 x 2 x 181
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(389, 623) = 242347
GCD(389, 623) = ( 389 x 623 ) / 242347
GCD(389, 623) = 242347 / 242347
GCD(389, 623) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
GCD of 389, 623, 52, 724 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 389, 623, 52, 724?
GCD of 389, 623, 52, 724 is 1
2. Where do I get the detailed procedure to find GCD of 389, 623, 52, 724?
You can find a detailed procedure to find GCD of 389, 623, 52, 724 on our page.
3. How to find GCD of 389, 623, 52, 724 on a calculator?
You can find the GCD of 389, 623, 52, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.