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, 849, 211, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 849, 211, 204 is 1
GCD(888, 849, 211, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 849, 211, 204 is 1
GCD(888, 849, 211, 204) = 1
Given Input numbers are 888, 849, 211, 204
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 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Greatest Common Divisior
We found the divisors of 888, 849, 211, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 849, 211, 204 is 1.
Therefore, GCD of numbers 888, 849, 211, 204 is 1
Given Input Data is 888, 849, 211, 204
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 849 is 3 x 283
Prime Factorization of 211 is 211
Prime Factorization of 204 is 2 x 2 x 3 x 17
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, 849) = 251304
GCD(888, 849) = ( 888 x 849 ) / 251304
GCD(888, 849) = 753912 / 251304
GCD(888, 849) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 211) = 633
GCD(3, 211) = ( 3 x 211 ) / 633
GCD(3, 211) = 633 / 633
GCD(3, 211) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
GCD of 888, 849, 211, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 849, 211, 204?
GCD of 888, 849, 211, 204 is 1
2. Where do I get the detailed procedure to find GCD of 888, 849, 211, 204?
You can find a detailed procedure to find GCD of 888, 849, 211, 204 on our page.
3. How to find GCD of 888, 849, 211, 204 on a calculator?
You can find the GCD of 888, 849, 211, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.