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, 363, 97, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 363, 97, 394 is 1
GCD(816, 363, 97, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 363, 97, 394 is 1
GCD(816, 363, 97, 394) = 1
Given Input numbers are 816, 363, 97, 394
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 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 816, 363, 97, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 363, 97, 394 is 1.
Therefore, GCD of numbers 816, 363, 97, 394 is 1
Given Input Data is 816, 363, 97, 394
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 363 is 3 x 11 x 11
Prime Factorization of 97 is 97
Prime Factorization of 394 is 2 x 197
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, 363) = 98736
GCD(816, 363) = ( 816 x 363 ) / 98736
GCD(816, 363) = 296208 / 98736
GCD(816, 363) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 97) = 291
GCD(3, 97) = ( 3 x 97 ) / 291
GCD(3, 97) = 291 / 291
GCD(3, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
GCD of 816, 363, 97, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 363, 97, 394?
GCD of 816, 363, 97, 394 is 1
2. Where do I get the detailed procedure to find GCD of 816, 363, 97, 394?
You can find a detailed procedure to find GCD of 816, 363, 97, 394 on our page.
3. How to find GCD of 816, 363, 97, 394 on a calculator?
You can find the GCD of 816, 363, 97, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.