GCD of 856, 204, 825, 873 Calculator

Given Input numbers are 856, 204, 825, 873

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 856, 204, 825, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 204, 825, 873 is 1.

Therefore, GCD of numbers 856, 204, 825, 873 is 1

Given Input Data is 856, 204, 825, 873

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 873 is 3 x 3 x 97

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(856, 204) = 43656

GCD(856, 204) = ( 856 x 204 ) / 43656

GCD(856, 204) = 174624 / 43656

GCD(856, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 825

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

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

GCD(4, 825) = 3300 / 3300

GCD(4, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

GCD of 856, 204, 825, 873 is 1

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1. What is the GCD of 856, 204, 825, 873?

GCD of 856, 204, 825, 873 is 1

2. Where do I get the detailed procedure to find GCD of 856, 204, 825, 873?

You can find a detailed procedure to find GCD of 856, 204, 825, 873 on our page.

3. How to find GCD of 856, 204, 825, 873 on a calculator?

You can find the GCD of 856, 204, 825, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.