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 594, 438, 500, 956 i.e. 2 largest integer that divides all the numbers equally.
GCD of 594, 438, 500, 956 is 2
GCD(594, 438, 500, 956) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 594, 438, 500, 956 is 2
GCD(594, 438, 500, 956) = 2
Given Input numbers are 594, 438, 500, 956
To find the GCD of numbers using factoring list out all the divisors of each number
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 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 594, 438, 500, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 438, 500, 956 is 2.
Therefore, GCD of numbers 594, 438, 500, 956 is 2
Given Input Data is 594, 438, 500, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 956 is 2 x 2 x 239
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(594, 438) = 43362
GCD(594, 438) = ( 594 x 438 ) / 43362
GCD(594, 438) = 260172 / 43362
GCD(594, 438) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 500) = 1500
GCD(6, 500) = ( 6 x 500 ) / 1500
GCD(6, 500) = 3000 / 1500
GCD(6, 500) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
GCD(2, 956) = 1912 / 956
GCD(2, 956) = 2
GCD of 594, 438, 500, 956 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 594, 438, 500, 956?
GCD of 594, 438, 500, 956 is 2
2. Where do I get the detailed procedure to find GCD of 594, 438, 500, 956?
You can find a detailed procedure to find GCD of 594, 438, 500, 956 on our page.
3. How to find GCD of 594, 438, 500, 956 on a calculator?
You can find the GCD of 594, 438, 500, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.