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 213, 323, 66, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 323, 66, 326 is 1
GCD(213, 323, 66, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 323, 66, 326 is 1
GCD(213, 323, 66, 326) = 1
Given Input numbers are 213, 323, 66, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 213, 323, 66, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 323, 66, 326 is 1.
Therefore, GCD of numbers 213, 323, 66, 326 is 1
Given Input Data is 213, 323, 66, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 323 is 17 x 19
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 326 is 2 x 163
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(213, 323) = 68799
GCD(213, 323) = ( 213 x 323 ) / 68799
GCD(213, 323) = 68799 / 68799
GCD(213, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 213, 323, 66, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 323, 66, 326?
GCD of 213, 323, 66, 326 is 1
2. Where do I get the detailed procedure to find GCD of 213, 323, 66, 326?
You can find a detailed procedure to find GCD of 213, 323, 66, 326 on our page.
3. How to find GCD of 213, 323, 66, 326 on a calculator?
You can find the GCD of 213, 323, 66, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.