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 800, 239, 85 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 239, 85 is 1
GCD(800, 239, 85) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 239, 85 is 1
GCD(800, 239, 85) = 1
Given Input numbers are 800, 239, 85
To find the GCD of numbers using factoring list out all the divisors of each number
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 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Greatest Common Divisior
We found the divisors of 800, 239, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 239, 85 is 1.
Therefore, GCD of numbers 800, 239, 85 is 1
Given Input Data is 800, 239, 85
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 239 is 239
Prime Factorization of 85 is 5 x 17
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(800, 239) = 191200
GCD(800, 239) = ( 800 x 239 ) / 191200
GCD(800, 239) = 191200 / 191200
GCD(800, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
GCD of 800, 239, 85 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 239, 85?
GCD of 800, 239, 85 is 1
2. Where do I get the detailed procedure to find GCD of 800, 239, 85?
You can find a detailed procedure to find GCD of 800, 239, 85 on our page.
3. How to find GCD of 800, 239, 85 on a calculator?
You can find the GCD of 800, 239, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.