GCD of 255, 677, 21, 808 Calculator

Given Input numbers are 255, 677, 21, 808

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 808

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

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

Greatest Common Divisior

We found the divisors of 255, 677, 21, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 677, 21, 808 is 1.

Therefore, GCD of numbers 255, 677, 21, 808 is 1

Given Input Data is 255, 677, 21, 808

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 677 is 677

Prime Factorization of 21 is 3 x 7

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

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(255, 677) = 172635

GCD(255, 677) = ( 255 x 677 ) / 172635

GCD(255, 677) = 172635 / 172635

GCD(255, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 255, 677, 21, 808 is 1

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1. What is the GCD of 255, 677, 21, 808?

GCD of 255, 677, 21, 808 is 1

2. Where do I get the detailed procedure to find GCD of 255, 677, 21, 808?

You can find a detailed procedure to find GCD of 255, 677, 21, 808 on our page.

3. How to find GCD of 255, 677, 21, 808 on a calculator?

You can find the GCD of 255, 677, 21, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.