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, 393, 218, 456 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 393, 218, 456 is 1
GCD(390, 393, 218, 456) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 393, 218, 456 is 1
GCD(390, 393, 218, 456) = 1
Given Input numbers are 390, 393, 218, 456
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 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Greatest Common Divisior
We found the divisors of 390, 393, 218, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 393, 218, 456 is 1.
Therefore, GCD of numbers 390, 393, 218, 456 is 1
Given Input Data is 390, 393, 218, 456
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 393 is 3 x 131
Prime Factorization of 218 is 2 x 109
Prime Factorization of 456 is 2 x 2 x 2 x 3 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(390, 393) = 51090
GCD(390, 393) = ( 390 x 393 ) / 51090
GCD(390, 393) = 153270 / 51090
GCD(390, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 218) = 654
GCD(3, 218) = ( 3 x 218 ) / 654
GCD(3, 218) = 654 / 654
GCD(3, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
GCD of 390, 393, 218, 456 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 393, 218, 456?
GCD of 390, 393, 218, 456 is 1
2. Where do I get the detailed procedure to find GCD of 390, 393, 218, 456?
You can find a detailed procedure to find GCD of 390, 393, 218, 456 on our page.
3. How to find GCD of 390, 393, 218, 456 on a calculator?
You can find the GCD of 390, 393, 218, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.