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 390, 321, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 321, 397 is 1
GCD(390, 321, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 321, 397 is 1
GCD(390, 321, 397) = 1
Given Input numbers are 390, 321, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 390, 321, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 321, 397 is 1.
Therefore, GCD of numbers 390, 321, 397 is 1
Given Input Data is 390, 321, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 321 is 3 x 107
Prime Factorization of 397 is 397
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(390, 321) = 41730
GCD(390, 321) = ( 390 x 321 ) / 41730
GCD(390, 321) = 125190 / 41730
GCD(390, 321) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 397) = 1191
GCD(3, 397) = ( 3 x 397 ) / 1191
GCD(3, 397) = 1191 / 1191
GCD(3, 397) = 1
GCD of 390, 321, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 321, 397?
GCD of 390, 321, 397 is 1
2. Where do I get the detailed procedure to find GCD of 390, 321, 397?
You can find a detailed procedure to find GCD of 390, 321, 397 on our page.
3. How to find GCD of 390, 321, 397 on a calculator?
You can find the GCD of 390, 321, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.