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 819, 800, 49, 239 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 800, 49, 239 is 1
GCD(819, 800, 49, 239) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 800, 49, 239 is 1
GCD(819, 800, 49, 239) = 1
Given Input numbers are 819, 800, 49, 239
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Greatest Common Divisior
We found the divisors of 819, 800, 49, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 800, 49, 239 is 1.
Therefore, GCD of numbers 819, 800, 49, 239 is 1
Given Input Data is 819, 800, 49, 239
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 49 is 7 x 7
Prime Factorization of 239 is 239
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(819, 800) = 655200
GCD(819, 800) = ( 819 x 800 ) / 655200
GCD(819, 800) = 655200 / 655200
GCD(819, 800) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
GCD of 819, 800, 49, 239 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 800, 49, 239?
GCD of 819, 800, 49, 239 is 1
2. Where do I get the detailed procedure to find GCD of 819, 800, 49, 239?
You can find a detailed procedure to find GCD of 819, 800, 49, 239 on our page.
3. How to find GCD of 819, 800, 49, 239 on a calculator?
You can find the GCD of 819, 800, 49, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.