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 396, 512, 686, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 512, 686, 329 is 1
GCD(396, 512, 686, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 512, 686, 329 is 1
GCD(396, 512, 686, 329) = 1
Given Input numbers are 396, 512, 686, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
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 396, 512, 686, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 512, 686, 329 is 1.
Therefore, GCD of numbers 396, 512, 686, 329 is 1
Given Input Data is 396, 512, 686, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 686 is 2 x 7 x 7 x 7
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(396, 512) = 50688
GCD(396, 512) = ( 396 x 512 ) / 50688
GCD(396, 512) = 202752 / 50688
GCD(396, 512) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 686) = 1372
GCD(4, 686) = ( 4 x 686 ) / 1372
GCD(4, 686) = 2744 / 1372
GCD(4, 686) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 329) = 658
GCD(2, 329) = ( 2 x 329 ) / 658
GCD(2, 329) = 658 / 658
GCD(2, 329) = 1
GCD of 396, 512, 686, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 512, 686, 329?
GCD of 396, 512, 686, 329 is 1
2. Where do I get the detailed procedure to find GCD of 396, 512, 686, 329?
You can find a detailed procedure to find GCD of 396, 512, 686, 329 on our page.
3. How to find GCD of 396, 512, 686, 329 on a calculator?
You can find the GCD of 396, 512, 686, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.