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 399, 939, 38, 454 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 939, 38, 454 is 1
GCD(399, 939, 38, 454) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 939, 38, 454 is 1
GCD(399, 939, 38, 454) = 1
Given Input numbers are 399, 939, 38, 454
To find the GCD of numbers using factoring list out all the divisors of each number
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 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Greatest Common Divisior
We found the divisors of 399, 939, 38, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 939, 38, 454 is 1.
Therefore, GCD of numbers 399, 939, 38, 454 is 1
Given Input Data is 399, 939, 38, 454
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 939 is 3 x 313
Prime Factorization of 38 is 2 x 19
Prime Factorization of 454 is 2 x 227
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(399, 939) = 124887
GCD(399, 939) = ( 399 x 939 ) / 124887
GCD(399, 939) = 374661 / 124887
GCD(399, 939) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 38) = 114
GCD(3, 38) = ( 3 x 38 ) / 114
GCD(3, 38) = 114 / 114
GCD(3, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 454) = 454
GCD(1, 454) = ( 1 x 454 ) / 454
GCD(1, 454) = 454 / 454
GCD(1, 454) = 1
GCD of 399, 939, 38, 454 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 939, 38, 454?
GCD of 399, 939, 38, 454 is 1
2. Where do I get the detailed procedure to find GCD of 399, 939, 38, 454?
You can find a detailed procedure to find GCD of 399, 939, 38, 454 on our page.
3. How to find GCD of 399, 939, 38, 454 on a calculator?
You can find the GCD of 399, 939, 38, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.