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 234, 399, 16, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 399, 16, 876 is 1
GCD(234, 399, 16, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 399, 16, 876 is 1
GCD(234, 399, 16, 876) = 1
Given Input numbers are 234, 399, 16, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
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 234, 399, 16, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 399, 16, 876 is 1.
Therefore, GCD of numbers 234, 399, 16, 876 is 1
Given Input Data is 234, 399, 16, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 16 is 2 x 2 x 2 x 2
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(234, 399) = 31122
GCD(234, 399) = ( 234 x 399 ) / 31122
GCD(234, 399) = 93366 / 31122
GCD(234, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 16) = 48
GCD(3, 16) = ( 3 x 16 ) / 48
GCD(3, 16) = 48 / 48
GCD(3, 16) = 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 234, 399, 16, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 399, 16, 876?
GCD of 234, 399, 16, 876 is 1
2. Where do I get the detailed procedure to find GCD of 234, 399, 16, 876?
You can find a detailed procedure to find GCD of 234, 399, 16, 876 on our page.
3. How to find GCD of 234, 399, 16, 876 on a calculator?
You can find the GCD of 234, 399, 16, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.