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 394, 329, 96, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 329, 96, 385 is 1
GCD(394, 329, 96, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 329, 96, 385 is 1
GCD(394, 329, 96, 385) = 1
Given Input numbers are 394, 329, 96, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 394, 329, 96, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 329, 96, 385 is 1.
Therefore, GCD of numbers 394, 329, 96, 385 is 1
Given Input Data is 394, 329, 96, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 329 is 7 x 47
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 385 is 5 x 7 x 11
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(394, 329) = 129626
GCD(394, 329) = ( 394 x 329 ) / 129626
GCD(394, 329) = 129626 / 129626
GCD(394, 329) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 394, 329, 96, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 329, 96, 385?
GCD of 394, 329, 96, 385 is 1
2. Where do I get the detailed procedure to find GCD of 394, 329, 96, 385?
You can find a detailed procedure to find GCD of 394, 329, 96, 385 on our page.
3. How to find GCD of 394, 329, 96, 385 on a calculator?
You can find the GCD of 394, 329, 96, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.