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, 319, 440, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 319, 440, 323 is 1
GCD(329, 319, 440, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 319, 440, 323 is 1
GCD(329, 319, 440, 323) = 1
Given Input numbers are 329, 319, 440, 323
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 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 329, 319, 440, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 319, 440, 323 is 1.
Therefore, GCD of numbers 329, 319, 440, 323 is 1
Given Input Data is 329, 319, 440, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 319 is 11 x 29
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 323 is 17 x 19
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, 319) = 104951
GCD(329, 319) = ( 329 x 319 ) / 104951
GCD(329, 319) = 104951 / 104951
GCD(329, 319) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 329, 319, 440, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 319, 440, 323?
GCD of 329, 319, 440, 323 is 1
2. Where do I get the detailed procedure to find GCD of 329, 319, 440, 323?
You can find a detailed procedure to find GCD of 329, 319, 440, 323 on our page.
3. How to find GCD of 329, 319, 440, 323 on a calculator?
You can find the GCD of 329, 319, 440, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.