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, 298, 398, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 298, 398, 819 is 1
GCD(816, 298, 398, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 298, 398, 819 is 1
GCD(816, 298, 398, 819) = 1
Given Input numbers are 816, 298, 398, 819
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 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 816, 298, 398, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 298, 398, 819 is 1.
Therefore, GCD of numbers 816, 298, 398, 819 is 1
Given Input Data is 816, 298, 398, 819
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 298 is 2 x 149
Prime Factorization of 398 is 2 x 199
Prime Factorization of 819 is 3 x 3 x 7 x 13
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, 298) = 121584
GCD(816, 298) = ( 816 x 298 ) / 121584
GCD(816, 298) = 243168 / 121584
GCD(816, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
GCD(2, 398) = 796 / 398
GCD(2, 398) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 819) = 1638
GCD(2, 819) = ( 2 x 819 ) / 1638
GCD(2, 819) = 1638 / 1638
GCD(2, 819) = 1
GCD of 816, 298, 398, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 298, 398, 819?
GCD of 816, 298, 398, 819 is 1
2. Where do I get the detailed procedure to find GCD of 816, 298, 398, 819?
You can find a detailed procedure to find GCD of 816, 298, 398, 819 on our page.
3. How to find GCD of 816, 298, 398, 819 on a calculator?
You can find the GCD of 816, 298, 398, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.