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 200, 872, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 872, 861 is 1
GCD(200, 872, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 872, 861 is 1
GCD(200, 872, 861) = 1
Given Input numbers are 200, 872, 861
To find the GCD of numbers using factoring list out all the divisors of each number
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 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 200, 872, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 872, 861 is 1.
Therefore, GCD of numbers 200, 872, 861 is 1
Given Input Data is 200, 872, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 861 is 3 x 7 x 41
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(200, 872) = 21800
GCD(200, 872) = ( 200 x 872 ) / 21800
GCD(200, 872) = 174400 / 21800
GCD(200, 872) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 861) = 6888
GCD(8, 861) = ( 8 x 861 ) / 6888
GCD(8, 861) = 6888 / 6888
GCD(8, 861) = 1
GCD of 200, 872, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 872, 861?
GCD of 200, 872, 861 is 1
2. Where do I get the detailed procedure to find GCD of 200, 872, 861?
You can find a detailed procedure to find GCD of 200, 872, 861 on our page.
3. How to find GCD of 200, 872, 861 on a calculator?
You can find the GCD of 200, 872, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.