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 323, 279, 213, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 279, 213, 384 is 1
GCD(323, 279, 213, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 279, 213, 384 is 1
GCD(323, 279, 213, 384) = 1
Given Input numbers are 323, 279, 213, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 323, 279, 213, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 279, 213, 384 is 1.
Therefore, GCD of numbers 323, 279, 213, 384 is 1
Given Input Data is 323, 279, 213, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 213 is 3 x 71
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(323, 279) = 90117
GCD(323, 279) = ( 323 x 279 ) / 90117
GCD(323, 279) = 90117 / 90117
GCD(323, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 323, 279, 213, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 279, 213, 384?
GCD of 323, 279, 213, 384 is 1
2. Where do I get the detailed procedure to find GCD of 323, 279, 213, 384?
You can find a detailed procedure to find GCD of 323, 279, 213, 384 on our page.
3. How to find GCD of 323, 279, 213, 384 on a calculator?
You can find the GCD of 323, 279, 213, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.