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 330, 495, 29, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 495, 29, 329 is 1
GCD(330, 495, 29, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 495, 29, 329 is 1
GCD(330, 495, 29, 329) = 1
Given Input numbers are 330, 495, 29, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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 330, 495, 29, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 495, 29, 329 is 1.
Therefore, GCD of numbers 330, 495, 29, 329 is 1
Given Input Data is 330, 495, 29, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 29 is 29
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(330, 495) = 990
GCD(330, 495) = ( 330 x 495 ) / 990
GCD(330, 495) = 163350 / 990
GCD(330, 495) = 165
Step2:
Here we consider the GCD from the above i.e. 165 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(165, 29) = 4785
GCD(165, 29) = ( 165 x 29 ) / 4785
GCD(165, 29) = 4785 / 4785
GCD(165, 29) = 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 330, 495, 29, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 495, 29, 329?
GCD of 330, 495, 29, 329 is 1
2. Where do I get the detailed procedure to find GCD of 330, 495, 29, 329?
You can find a detailed procedure to find GCD of 330, 495, 29, 329 on our page.
3. How to find GCD of 330, 495, 29, 329 on a calculator?
You can find the GCD of 330, 495, 29, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.