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 816, 391, 586, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 391, 586, 307 is 1
GCD(816, 391, 586, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 391, 586, 307 is 1
GCD(816, 391, 586, 307) = 1
Given Input numbers are 816, 391, 586, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 816, 391, 586, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 391, 586, 307 is 1.
Therefore, GCD of numbers 816, 391, 586, 307 is 1
Given Input Data is 816, 391, 586, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 391 is 17 x 23
Prime Factorization of 586 is 2 x 293
Prime Factorization of 307 is 307
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(816, 391) = 18768
GCD(816, 391) = ( 816 x 391 ) / 18768
GCD(816, 391) = 319056 / 18768
GCD(816, 391) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 586
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 586) = 9962
GCD(17, 586) = ( 17 x 586 ) / 9962
GCD(17, 586) = 9962 / 9962
GCD(17, 586) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 816, 391, 586, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 391, 586, 307?
GCD of 816, 391, 586, 307 is 1
2. Where do I get the detailed procedure to find GCD of 816, 391, 586, 307?
You can find a detailed procedure to find GCD of 816, 391, 586, 307 on our page.
3. How to find GCD of 816, 391, 586, 307 on a calculator?
You can find the GCD of 816, 391, 586, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.