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 322, 459, 868, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 459, 868, 349 is 1
GCD(322, 459, 868, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 459, 868, 349 is 1
GCD(322, 459, 868, 349) = 1
Given Input numbers are 322, 459, 868, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 322, 459, 868, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 459, 868, 349 is 1.
Therefore, GCD of numbers 322, 459, 868, 349 is 1
Given Input Data is 322, 459, 868, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 349 is 349
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(322, 459) = 147798
GCD(322, 459) = ( 322 x 459 ) / 147798
GCD(322, 459) = 147798 / 147798
GCD(322, 459) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 322, 459, 868, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 459, 868, 349?
GCD of 322, 459, 868, 349 is 1
2. Where do I get the detailed procedure to find GCD of 322, 459, 868, 349?
You can find a detailed procedure to find GCD of 322, 459, 868, 349 on our page.
3. How to find GCD of 322, 459, 868, 349 on a calculator?
You can find the GCD of 322, 459, 868, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.