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 500, 656, 892, 652 i.e. 4 largest integer that divides all the numbers equally.
GCD of 500, 656, 892, 652 is 4
GCD(500, 656, 892, 652) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 656, 892, 652 is 4
GCD(500, 656, 892, 652) = 4
Given Input numbers are 500, 656, 892, 652
To find the GCD of numbers using factoring list out all the divisors of each number
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 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 500, 656, 892, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 656, 892, 652 is 4.
Therefore, GCD of numbers 500, 656, 892, 652 is 4
Given Input Data is 500, 656, 892, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 652 is 2 x 2 x 163
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(500, 656) = 82000
GCD(500, 656) = ( 500 x 656 ) / 82000
GCD(500, 656) = 328000 / 82000
GCD(500, 656) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 892) = 892
GCD(4, 892) = ( 4 x 892 ) / 892
GCD(4, 892) = 3568 / 892
GCD(4, 892) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 652) = 652
GCD(4, 652) = ( 4 x 652 ) / 652
GCD(4, 652) = 2608 / 652
GCD(4, 652) = 4
GCD of 500, 656, 892, 652 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 656, 892, 652?
GCD of 500, 656, 892, 652 is 4
2. Where do I get the detailed procedure to find GCD of 500, 656, 892, 652?
You can find a detailed procedure to find GCD of 500, 656, 892, 652 on our page.
3. How to find GCD of 500, 656, 892, 652 on a calculator?
You can find the GCD of 500, 656, 892, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.