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 517, 438, 404, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 517, 438, 404, 124 is 1
GCD(517, 438, 404, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 517, 438, 404, 124 is 1
GCD(517, 438, 404, 124) = 1
Given Input numbers are 517, 438, 404, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 517, 438, 404, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 438, 404, 124 is 1.
Therefore, GCD of numbers 517, 438, 404, 124 is 1
Given Input Data is 517, 438, 404, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 517 is 11 x 47
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 124 is 2 x 2 x 31
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(517, 438) = 226446
GCD(517, 438) = ( 517 x 438 ) / 226446
GCD(517, 438) = 226446 / 226446
GCD(517, 438) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 517, 438, 404, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 517, 438, 404, 124?
GCD of 517, 438, 404, 124 is 1
2. Where do I get the detailed procedure to find GCD of 517, 438, 404, 124?
You can find a detailed procedure to find GCD of 517, 438, 404, 124 on our page.
3. How to find GCD of 517, 438, 404, 124 on a calculator?
You can find the GCD of 517, 438, 404, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.