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 684, 814, 11, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 814, 11, 329 is 1
GCD(684, 814, 11, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 814, 11, 329 is 1
GCD(684, 814, 11, 329) = 1
Given Input numbers are 684, 814, 11, 329
To find the GCD of numbers using factoring list out all the divisors of each number
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 684, 814, 11, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 814, 11, 329 is 1.
Therefore, GCD of numbers 684, 814, 11, 329 is 1
Given Input Data is 684, 814, 11, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 11 is 11
Prime Factorization of 329 is 7 x 47
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(684, 814) = 278388
GCD(684, 814) = ( 684 x 814 ) / 278388
GCD(684, 814) = 556776 / 278388
GCD(684, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 11) = 22
GCD(2, 11) = ( 2 x 11 ) / 22
GCD(2, 11) = 22 / 22
GCD(2, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
GCD of 684, 814, 11, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 814, 11, 329?
GCD of 684, 814, 11, 329 is 1
2. Where do I get the detailed procedure to find GCD of 684, 814, 11, 329?
You can find a detailed procedure to find GCD of 684, 814, 11, 329 on our page.
3. How to find GCD of 684, 814, 11, 329 on a calculator?
You can find the GCD of 684, 814, 11, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.