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, 399, 419, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 399, 419, 779 is 1
GCD(18, 399, 419, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 399, 419, 779 is 1
GCD(18, 399, 419, 779) = 1
Given Input numbers are 18, 399, 419, 779
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 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 18, 399, 419, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 399, 419, 779 is 1.
Therefore, GCD of numbers 18, 399, 419, 779 is 1
Given Input Data is 18, 399, 419, 779
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 399 is 3 x 7 x 19
Prime Factorization of 419 is 419
Prime Factorization of 779 is 19 x 41
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, 399) = 2394
GCD(18, 399) = ( 18 x 399 ) / 2394
GCD(18, 399) = 7182 / 2394
GCD(18, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 419) = 1257
GCD(3, 419) = ( 3 x 419 ) / 1257
GCD(3, 419) = 1257 / 1257
GCD(3, 419) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 18, 399, 419, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 399, 419, 779?
GCD of 18, 399, 419, 779 is 1
2. Where do I get the detailed procedure to find GCD of 18, 399, 419, 779?
You can find a detailed procedure to find GCD of 18, 399, 419, 779 on our page.
3. How to find GCD of 18, 399, 419, 779 on a calculator?
You can find the GCD of 18, 399, 419, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.