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 888, 872, 359, 990 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 872, 359, 990 is 1
GCD(888, 872, 359, 990) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 872, 359, 990 is 1
GCD(888, 872, 359, 990) = 1
Given Input numbers are 888, 872, 359, 990
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
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 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Greatest Common Divisior
We found the divisors of 888, 872, 359, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 872, 359, 990 is 1.
Therefore, GCD of numbers 888, 872, 359, 990 is 1
Given Input Data is 888, 872, 359, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 359 is 359
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
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(888, 872) = 96792
GCD(888, 872) = ( 888 x 872 ) / 96792
GCD(888, 872) = 774336 / 96792
GCD(888, 872) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 359) = 2872
GCD(8, 359) = ( 8 x 359 ) / 2872
GCD(8, 359) = 2872 / 2872
GCD(8, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
GCD of 888, 872, 359, 990 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 872, 359, 990?
GCD of 888, 872, 359, 990 is 1
2. Where do I get the detailed procedure to find GCD of 888, 872, 359, 990?
You can find a detailed procedure to find GCD of 888, 872, 359, 990 on our page.
3. How to find GCD of 888, 872, 359, 990 on a calculator?
You can find the GCD of 888, 872, 359, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.