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, 316, 464, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 316, 464, 442 is 1
GCD(329, 316, 464, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 316, 464, 442 is 1
GCD(329, 316, 464, 442) = 1
Given Input numbers are 329, 316, 464, 442
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 329, 316, 464, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 316, 464, 442 is 1.
Therefore, GCD of numbers 329, 316, 464, 442 is 1
Given Input Data is 329, 316, 464, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 442 is 2 x 13 x 17
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, 316) = 103964
GCD(329, 316) = ( 329 x 316 ) / 103964
GCD(329, 316) = 103964 / 103964
GCD(329, 316) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 329, 316, 464, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 316, 464, 442?
GCD of 329, 316, 464, 442 is 1
2. Where do I get the detailed procedure to find GCD of 329, 316, 464, 442?
You can find a detailed procedure to find GCD of 329, 316, 464, 442 on our page.
3. How to find GCD of 329, 316, 464, 442 on a calculator?
You can find the GCD of 329, 316, 464, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.