GCD of 808, 809, 48, 516 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, 809, 48, 516 i.e. 1 largest integer that divides all the numbers equally.

GCD of 808, 809, 48, 516 is 1

GCD(808, 809, 48, 516) = 1

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

GCD of

GCD of numbers 808, 809, 48, 516 is 1

GCD(808, 809, 48, 516) = 1

GCD of 808,809,48,516 Calculator

GCDof 808,809,48,516 is 1

Given Input numbers are 808, 809, 48, 516

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 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 808, 809, 48, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 809, 48, 516 is 1.

Therefore, GCD of numbers 808, 809, 48, 516 is 1

Finding GCD of 808, 809, 48, 516 using Prime Factorization

Given Input Data is 808, 809, 48, 516

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 809 is 809

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 516 is 2 x 2 x 3 x 43

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

Finding GCD of 808, 809, 48, 516 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, 809) = 653672

GCD(808, 809) = ( 808 x 809 ) / 653672

GCD(808, 809) = 653672 / 653672

GCD(808, 809) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 808, 809, 48, 516 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 808, 809, 48, 516

1. What is the GCD of 808, 809, 48, 516?

GCD of 808, 809, 48, 516 is 1


2. Where do I get the detailed procedure to find GCD of 808, 809, 48, 516?

You can find a detailed procedure to find GCD of 808, 809, 48, 516 on our page.


3. How to find GCD of 808, 809, 48, 516 on a calculator?

You can find the GCD of 808, 809, 48, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.