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 999, 789, 893, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 789, 893, 885 is 1
GCD(999, 789, 893, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 789, 893, 885 is 1
GCD(999, 789, 893, 885) = 1
Given Input numbers are 999, 789, 893, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 999, 789, 893, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 789, 893, 885 is 1.
Therefore, GCD of numbers 999, 789, 893, 885 is 1
Given Input Data is 999, 789, 893, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 789 is 3 x 263
Prime Factorization of 893 is 19 x 47
Prime Factorization of 885 is 3 x 5 x 59
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(999, 789) = 262737
GCD(999, 789) = ( 999 x 789 ) / 262737
GCD(999, 789) = 788211 / 262737
GCD(999, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 893) = 2679
GCD(3, 893) = ( 3 x 893 ) / 2679
GCD(3, 893) = 2679 / 2679
GCD(3, 893) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 999, 789, 893, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 789, 893, 885?
GCD of 999, 789, 893, 885 is 1
2. Where do I get the detailed procedure to find GCD of 999, 789, 893, 885?
You can find a detailed procedure to find GCD of 999, 789, 893, 885 on our page.
3. How to find GCD of 999, 789, 893, 885 on a calculator?
You can find the GCD of 999, 789, 893, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.