GCD of 808, 774, 800, 273 Calculator

Given Input numbers are 808, 774, 800, 273

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 808, 774, 800, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 774, 800, 273 is 1.

Therefore, GCD of numbers 808, 774, 800, 273 is 1

Given Input Data is 808, 774, 800, 273

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 774 is 2 x 3 x 3 x 43

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 273 is 3 x 7 x 13

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(808, 774) = 312696

GCD(808, 774) = ( 808 x 774 ) / 312696

GCD(808, 774) = 625392 / 312696

GCD(808, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

GCD of 808, 774, 800, 273 is 1

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1. What is the GCD of 808, 774, 800, 273?

GCD of 808, 774, 800, 273 is 1

2. Where do I get the detailed procedure to find GCD of 808, 774, 800, 273?

You can find a detailed procedure to find GCD of 808, 774, 800, 273 on our page.

3. How to find GCD of 808, 774, 800, 273 on a calculator?

You can find the GCD of 808, 774, 800, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.