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 502, 894, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 502, 894, 589 is 1
GCD(502, 894, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 894, 589 is 1
GCD(502, 894, 589) = 1
Given Input numbers are 502, 894, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 502, 894, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 894, 589 is 1.
Therefore, GCD of numbers 502, 894, 589 is 1
Given Input Data is 502, 894, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 589 is 19 x 31
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(502, 894) = 224394
GCD(502, 894) = ( 502 x 894 ) / 224394
GCD(502, 894) = 448788 / 224394
GCD(502, 894) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 589) = 1178
GCD(2, 589) = ( 2 x 589 ) / 1178
GCD(2, 589) = 1178 / 1178
GCD(2, 589) = 1
GCD of 502, 894, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 894, 589?
GCD of 502, 894, 589 is 1
2. Where do I get the detailed procedure to find GCD of 502, 894, 589?
You can find a detailed procedure to find GCD of 502, 894, 589 on our page.
3. How to find GCD of 502, 894, 589 on a calculator?
You can find the GCD of 502, 894, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.