GCD of 800, 239, 85 Calculator

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

GCD of numbers 800, 239, 85 is 1

GCD(800, 239, 85) = 1

GCD of 800,239,85 Calculator

GCDof 800,239,85 is 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

Finding GCD of 800, 239, 85 using Prime Factorization

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

Finding GCD of 800, 239, 85 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 800, 239, 85

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.