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 813, 730, 684, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 730, 684, 304 is 1
GCD(813, 730, 684, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 730, 684, 304 is 1
GCD(813, 730, 684, 304) = 1
Given Input numbers are 813, 730, 684, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
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 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 813, 730, 684, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 730, 684, 304 is 1.
Therefore, GCD of numbers 813, 730, 684, 304 is 1
Given Input Data is 813, 730, 684, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(813, 730) = 593490
GCD(813, 730) = ( 813 x 730 ) / 593490
GCD(813, 730) = 593490 / 593490
GCD(813, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 813, 730, 684, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 730, 684, 304?
GCD of 813, 730, 684, 304 is 1
2. Where do I get the detailed procedure to find GCD of 813, 730, 684, 304?
You can find a detailed procedure to find GCD of 813, 730, 684, 304 on our page.
3. How to find GCD of 813, 730, 684, 304 on a calculator?
You can find the GCD of 813, 730, 684, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.