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, 316, 816, 719 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 316, 816, 719 is 1
GCD(438, 316, 816, 719) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 316, 816, 719 is 1
GCD(438, 316, 816, 719) = 1
Given Input numbers are 438, 316, 816, 719
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Greatest Common Divisior
We found the divisors of 438, 316, 816, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 316, 816, 719 is 1.
Therefore, GCD of numbers 438, 316, 816, 719 is 1
Given Input Data is 438, 316, 816, 719
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 316 is 2 x 2 x 79
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 719 is 719
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, 316) = 69204
GCD(438, 316) = ( 438 x 316 ) / 69204
GCD(438, 316) = 138408 / 69204
GCD(438, 316) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
GCD(2, 816) = 1632 / 816
GCD(2, 816) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 719
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 719) = 1438
GCD(2, 719) = ( 2 x 719 ) / 1438
GCD(2, 719) = 1438 / 1438
GCD(2, 719) = 1
GCD of 438, 316, 816, 719 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 316, 816, 719?
GCD of 438, 316, 816, 719 is 1
2. Where do I get the detailed procedure to find GCD of 438, 316, 816, 719?
You can find a detailed procedure to find GCD of 438, 316, 816, 719 on our page.
3. How to find GCD of 438, 316, 816, 719 on a calculator?
You can find the GCD of 438, 316, 816, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.