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 524, 868, 200, 889 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 868, 200, 889 is 1
GCD(524, 868, 200, 889) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 868, 200, 889 is 1
GCD(524, 868, 200, 889) = 1
Given Input numbers are 524, 868, 200, 889
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Greatest Common Divisior
We found the divisors of 524, 868, 200, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 868, 200, 889 is 1.
Therefore, GCD of numbers 524, 868, 200, 889 is 1
Given Input Data is 524, 868, 200, 889
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 889 is 7 x 127
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(524, 868) = 113708
GCD(524, 868) = ( 524 x 868 ) / 113708
GCD(524, 868) = 454832 / 113708
GCD(524, 868) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
GCD(4, 200) = 800 / 200
GCD(4, 200) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 889) = 3556
GCD(4, 889) = ( 4 x 889 ) / 3556
GCD(4, 889) = 3556 / 3556
GCD(4, 889) = 1
GCD of 524, 868, 200, 889 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 868, 200, 889?
GCD of 524, 868, 200, 889 is 1
2. Where do I get the detailed procedure to find GCD of 524, 868, 200, 889?
You can find a detailed procedure to find GCD of 524, 868, 200, 889 on our page.
3. How to find GCD of 524, 868, 200, 889 on a calculator?
You can find the GCD of 524, 868, 200, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.