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 19, 43, 38 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 43, 38 is 1
GCD(19, 43, 38) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 43, 38 is 1
GCD(19, 43, 38) = 1
Given Input numbers are 19, 43, 38
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Greatest Common Divisior
We found the divisors of 19, 43, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 43, 38 is 1.
Therefore, GCD of numbers 19, 43, 38 is 1
Given Input Data is 19, 43, 38
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 43 is 43
Prime Factorization of 38 is 2 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(19, 43) = 817
GCD(19, 43) = ( 19 x 43 ) / 817
GCD(19, 43) = 817 / 817
GCD(19, 43) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
GCD of 19, 43, 38 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 43, 38?
GCD of 19, 43, 38 is 1
2. Where do I get the detailed procedure to find GCD of 19, 43, 38?
You can find a detailed procedure to find GCD of 19, 43, 38 on our page.
3. How to find GCD of 19, 43, 38 on a calculator?
You can find the GCD of 19, 43, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.