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 18, 406, 428, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 406, 428, 319 is 1
GCD(18, 406, 428, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 406, 428, 319 is 1
GCD(18, 406, 428, 319) = 1
Given Input numbers are 18, 406, 428, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 18, 406, 428, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 406, 428, 319 is 1.
Therefore, GCD of numbers 18, 406, 428, 319 is 1
Given Input Data is 18, 406, 428, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 319 is 11 x 29
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(18, 406) = 3654
GCD(18, 406) = ( 18 x 406 ) / 3654
GCD(18, 406) = 7308 / 3654
GCD(18, 406) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
GCD(2, 428) = 856 / 428
GCD(2, 428) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 319) = 638
GCD(2, 319) = ( 2 x 319 ) / 638
GCD(2, 319) = 638 / 638
GCD(2, 319) = 1
GCD of 18, 406, 428, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 406, 428, 319?
GCD of 18, 406, 428, 319 is 1
2. Where do I get the detailed procedure to find GCD of 18, 406, 428, 319?
You can find a detailed procedure to find GCD of 18, 406, 428, 319 on our page.
3. How to find GCD of 18, 406, 428, 319 on a calculator?
You can find the GCD of 18, 406, 428, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.