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 327, 447, 57, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 447, 57, 394 is 1
GCD(327, 447, 57, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 447, 57, 394 is 1
GCD(327, 447, 57, 394) = 1
Given Input numbers are 327, 447, 57, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 327, 447, 57, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 447, 57, 394 is 1.
Therefore, GCD of numbers 327, 447, 57, 394 is 1
Given Input Data is 327, 447, 57, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 447 is 3 x 149
Prime Factorization of 57 is 3 x 19
Prime Factorization of 394 is 2 x 197
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(327, 447) = 48723
GCD(327, 447) = ( 327 x 447 ) / 48723
GCD(327, 447) = 146169 / 48723
GCD(327, 447) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 57) = 57
GCD(3, 57) = ( 3 x 57 ) / 57
GCD(3, 57) = 171 / 57
GCD(3, 57) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 394) = 1182
GCD(3, 394) = ( 3 x 394 ) / 1182
GCD(3, 394) = 1182 / 1182
GCD(3, 394) = 1
GCD of 327, 447, 57, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 447, 57, 394?
GCD of 327, 447, 57, 394 is 1
2. Where do I get the detailed procedure to find GCD of 327, 447, 57, 394?
You can find a detailed procedure to find GCD of 327, 447, 57, 394 on our page.
3. How to find GCD of 327, 447, 57, 394 on a calculator?
You can find the GCD of 327, 447, 57, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.