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 326, 382, 421, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 326, 382, 421, 361 is 1
GCD(326, 382, 421, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 382, 421, 361 is 1
GCD(326, 382, 421, 361) = 1
Given Input numbers are 326, 382, 421, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 326, 382, 421, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 382, 421, 361 is 1.
Therefore, GCD of numbers 326, 382, 421, 361 is 1
Given Input Data is 326, 382, 421, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 382 is 2 x 191
Prime Factorization of 421 is 421
Prime Factorization of 361 is 19 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(326, 382) = 62266
GCD(326, 382) = ( 326 x 382 ) / 62266
GCD(326, 382) = 124532 / 62266
GCD(326, 382) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 421) = 842
GCD(2, 421) = ( 2 x 421 ) / 842
GCD(2, 421) = 842 / 842
GCD(2, 421) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 326, 382, 421, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 382, 421, 361?
GCD of 326, 382, 421, 361 is 1
2. Where do I get the detailed procedure to find GCD of 326, 382, 421, 361?
You can find a detailed procedure to find GCD of 326, 382, 421, 361 on our page.
3. How to find GCD of 326, 382, 421, 361 on a calculator?
You can find the GCD of 326, 382, 421, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.