GCD of 872, 333, 21, 904 Calculator

Given Input numbers are 872, 333, 21, 904

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 21

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

1, 3, 7, 21

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 872, 333, 21, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 333, 21, 904 is 1.

Therefore, GCD of numbers 872, 333, 21, 904 is 1

Given Input Data is 872, 333, 21, 904

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(872, 333) = 290376

GCD(872, 333) = ( 872 x 333 ) / 290376

GCD(872, 333) = 290376 / 290376

GCD(872, 333) = 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 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 872, 333, 21, 904 is 1

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1. What is the GCD of 872, 333, 21, 904?

GCD of 872, 333, 21, 904 is 1

2. Where do I get the detailed procedure to find GCD of 872, 333, 21, 904?

You can find a detailed procedure to find GCD of 872, 333, 21, 904 on our page.

3. How to find GCD of 872, 333, 21, 904 on a calculator?

You can find the GCD of 872, 333, 21, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.