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 398, 106, 386, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 106, 386, 319 is 1
GCD(398, 106, 386, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 106, 386, 319 is 1
GCD(398, 106, 386, 319) = 1
Given Input numbers are 398, 106, 386, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
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 398, 106, 386, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 106, 386, 319 is 1.
Therefore, GCD of numbers 398, 106, 386, 319 is 1
Given Input Data is 398, 106, 386, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 106 is 2 x 53
Prime Factorization of 386 is 2 x 193
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(398, 106) = 21094
GCD(398, 106) = ( 398 x 106 ) / 21094
GCD(398, 106) = 42188 / 21094
GCD(398, 106) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
GCD(2, 386) = 772 / 386
GCD(2, 386) = 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 398, 106, 386, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 106, 386, 319?
GCD of 398, 106, 386, 319 is 1
2. Where do I get the detailed procedure to find GCD of 398, 106, 386, 319?
You can find a detailed procedure to find GCD of 398, 106, 386, 319 on our page.
3. How to find GCD of 398, 106, 386, 319 on a calculator?
You can find the GCD of 398, 106, 386, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.