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 916, 684, 856 i.e. 4 largest integer that divides all the numbers equally.
GCD of 916, 684, 856 is 4
GCD(916, 684, 856) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 684, 856 is 4
GCD(916, 684, 856) = 4
Given Input numbers are 916, 684, 856
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Greatest Common Divisior
We found the divisors of 916, 684, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 684, 856 is 4.
Therefore, GCD of numbers 916, 684, 856 is 4
Given Input Data is 916, 684, 856
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 856 is 2 x 2 x 2 x 107
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(916, 684) = 156636
GCD(916, 684) = ( 916 x 684 ) / 156636
GCD(916, 684) = 626544 / 156636
GCD(916, 684) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 856) = 856
GCD(4, 856) = ( 4 x 856 ) / 856
GCD(4, 856) = 3424 / 856
GCD(4, 856) = 4
GCD of 916, 684, 856 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 684, 856?
GCD of 916, 684, 856 is 4
2. Where do I get the detailed procedure to find GCD of 916, 684, 856?
You can find a detailed procedure to find GCD of 916, 684, 856 on our page.
3. How to find GCD of 916, 684, 856 on a calculator?
You can find the GCD of 916, 684, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.