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 344, 971, 396, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 971, 396, 326 is 1
GCD(344, 971, 396, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 971, 396, 326 is 1
GCD(344, 971, 396, 326) = 1
Given Input numbers are 344, 971, 396, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
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 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 344, 971, 396, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 971, 396, 326 is 1.
Therefore, GCD of numbers 344, 971, 396, 326 is 1
Given Input Data is 344, 971, 396, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 971 is 971
Prime Factorization of 396 is 2 x 2 x 3 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(344, 971) = 334024
GCD(344, 971) = ( 344 x 971 ) / 334024
GCD(344, 971) = 334024 / 334024
GCD(344, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 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 344, 971, 396, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 971, 396, 326?
GCD of 344, 971, 396, 326 is 1
2. Where do I get the detailed procedure to find GCD of 344, 971, 396, 326?
You can find a detailed procedure to find GCD of 344, 971, 396, 326 on our page.
3. How to find GCD of 344, 971, 396, 326 on a calculator?
You can find the GCD of 344, 971, 396, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.