GCD of 808, 284, 23 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 808, 284, 23 i.e. 1 largest integer that divides all the numbers equally.

GCD of 808, 284, 23 is 1

GCD(808, 284, 23) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 808, 284, 23 is 1

GCD(808, 284, 23) = 1

GCD of 808,284,23 Calculator

GCDof 808,284,23 is 1

Given Input numbers are 808, 284, 23

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Greatest Common Divisior

We found the divisors of 808, 284, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 284, 23 is 1.

Therefore, GCD of numbers 808, 284, 23 is 1

Finding GCD of 808, 284, 23 using Prime Factorization

Given Input Data is 808, 284, 23

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 23 is 23

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 808, 284, 23 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(808, 284) = 57368

GCD(808, 284) = ( 808 x 284 ) / 57368

GCD(808, 284) = 229472 / 57368

GCD(808, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 1

GCD of 808, 284, 23 is 1

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FAQs on GCD of numbers 808, 284, 23

1. What is the GCD of 808, 284, 23?

GCD of 808, 284, 23 is 1

2. Where do I get the detailed procedure to find GCD of 808, 284, 23?

You can find a detailed procedure to find GCD of 808, 284, 23 on our page.

3. How to find GCD of 808, 284, 23 on a calculator?

You can find the GCD of 808, 284, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.