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 329, 823, 17, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 823, 17, 838 is 1
GCD(329, 823, 17, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 823, 17, 838 is 1
GCD(329, 823, 17, 838) = 1
Given Input numbers are 329, 823, 17, 838
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 329, 823, 17, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 823, 17, 838 is 1.
Therefore, GCD of numbers 329, 823, 17, 838 is 1
Given Input Data is 329, 823, 17, 838
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 823 is 823
Prime Factorization of 17 is 17
Prime Factorization of 838 is 2 x 419
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(329, 823) = 270767
GCD(329, 823) = ( 329 x 823 ) / 270767
GCD(329, 823) = 270767 / 270767
GCD(329, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 329, 823, 17, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 823, 17, 838?
GCD of 329, 823, 17, 838 is 1
2. Where do I get the detailed procedure to find GCD of 329, 823, 17, 838?
You can find a detailed procedure to find GCD of 329, 823, 17, 838 on our page.
3. How to find GCD of 329, 823, 17, 838 on a calculator?
You can find the GCD of 329, 823, 17, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.