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 29, 522, 195, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 522, 195, 329 is 1
GCD(29, 522, 195, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 522, 195, 329 is 1
GCD(29, 522, 195, 329) = 1
Given Input numbers are 29, 522, 195, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 29, 522, 195, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 522, 195, 329 is 1.
Therefore, GCD of numbers 29, 522, 195, 329 is 1
Given Input Data is 29, 522, 195, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 329 is 7 x 47
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(29, 522) = 522
GCD(29, 522) = ( 29 x 522 ) / 522
GCD(29, 522) = 15138 / 522
GCD(29, 522) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 195) = 5655
GCD(29, 195) = ( 29 x 195 ) / 5655
GCD(29, 195) = 5655 / 5655
GCD(29, 195) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
GCD of 29, 522, 195, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 522, 195, 329?
GCD of 29, 522, 195, 329 is 1
2. Where do I get the detailed procedure to find GCD of 29, 522, 195, 329?
You can find a detailed procedure to find GCD of 29, 522, 195, 329 on our page.
3. How to find GCD of 29, 522, 195, 329 on a calculator?
You can find the GCD of 29, 522, 195, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.