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, 719, 20, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 719, 20, 104 is 1
GCD(438, 719, 20, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 719, 20, 104 is 1
GCD(438, 719, 20, 104) = 1
Given Input numbers are 438, 719, 20, 104
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 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 438, 719, 20, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 719, 20, 104 is 1.
Therefore, GCD of numbers 438, 719, 20, 104 is 1
Given Input Data is 438, 719, 20, 104
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 719 is 719
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 104 is 2 x 2 x 2 x 13
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, 719) = 314922
GCD(438, 719) = ( 438 x 719 ) / 314922
GCD(438, 719) = 314922 / 314922
GCD(438, 719) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 438, 719, 20, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 719, 20, 104?
GCD of 438, 719, 20, 104 is 1
2. Where do I get the detailed procedure to find GCD of 438, 719, 20, 104?
You can find a detailed procedure to find GCD of 438, 719, 20, 104 on our page.
3. How to find GCD of 438, 719, 20, 104 on a calculator?
You can find the GCD of 438, 719, 20, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.