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, 238, 780, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 238, 780, 876 is 1
GCD(999, 238, 780, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 238, 780, 876 is 1
GCD(999, 238, 780, 876) = 1
Given Input numbers are 999, 238, 780, 876
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 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 999, 238, 780, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 238, 780, 876 is 1.
Therefore, GCD of numbers 999, 238, 780, 876 is 1
Given Input Data is 999, 238, 780, 876
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 238 is 2 x 7 x 17
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 876 is 2 x 2 x 3 x 73
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, 238) = 237762
GCD(999, 238) = ( 999 x 238 ) / 237762
GCD(999, 238) = 237762 / 237762
GCD(999, 238) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 999, 238, 780, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 238, 780, 876?
GCD of 999, 238, 780, 876 is 1
2. Where do I get the detailed procedure to find GCD of 999, 238, 780, 876?
You can find a detailed procedure to find GCD of 999, 238, 780, 876 on our page.
3. How to find GCD of 999, 238, 780, 876 on a calculator?
You can find the GCD of 999, 238, 780, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.