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 438, 614, 38, 515 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 614, 38, 515 is 1
GCD(438, 614, 38, 515) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 614, 38, 515 is 1
GCD(438, 614, 38, 515) = 1
Given Input numbers are 438, 614, 38, 515
To find the GCD of numbers using factoring list out all the divisors of each number
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 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Greatest Common Divisior
We found the divisors of 438, 614, 38, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 614, 38, 515 is 1.
Therefore, GCD of numbers 438, 614, 38, 515 is 1
Given Input Data is 438, 614, 38, 515
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 614 is 2 x 307
Prime Factorization of 38 is 2 x 19
Prime Factorization of 515 is 5 x 103
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(438, 614) = 134466
GCD(438, 614) = ( 438 x 614 ) / 134466
GCD(438, 614) = 268932 / 134466
GCD(438, 614) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
GCD(2, 38) = 76 / 38
GCD(2, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 515
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 515) = 1030
GCD(2, 515) = ( 2 x 515 ) / 1030
GCD(2, 515) = 1030 / 1030
GCD(2, 515) = 1
GCD of 438, 614, 38, 515 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 614, 38, 515?
GCD of 438, 614, 38, 515 is 1
2. Where do I get the detailed procedure to find GCD of 438, 614, 38, 515?
You can find a detailed procedure to find GCD of 438, 614, 38, 515 on our page.
3. How to find GCD of 438, 614, 38, 515 on a calculator?
You can find the GCD of 438, 614, 38, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.