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 920, 538, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 538, 399 is 1
GCD(920, 538, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 538, 399 is 1
GCD(920, 538, 399) = 1
Given Input numbers are 920, 538, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 920, 538, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 538, 399 is 1.
Therefore, GCD of numbers 920, 538, 399 is 1
Given Input Data is 920, 538, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 538 is 2 x 269
Prime Factorization of 399 is 3 x 7 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(920, 538) = 247480
GCD(920, 538) = ( 920 x 538 ) / 247480
GCD(920, 538) = 494960 / 247480
GCD(920, 538) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 399) = 798
GCD(2, 399) = ( 2 x 399 ) / 798
GCD(2, 399) = 798 / 798
GCD(2, 399) = 1
GCD of 920, 538, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 538, 399?
GCD of 920, 538, 399 is 1
2. Where do I get the detailed procedure to find GCD of 920, 538, 399?
You can find a detailed procedure to find GCD of 920, 538, 399 on our page.
3. How to find GCD of 920, 538, 399 on a calculator?
You can find the GCD of 920, 538, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.