GCD of 842, 806, 25, 874 Calculator

Given Input numbers are 842, 806, 25, 874

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 842, 806, 25, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 806, 25, 874 is 1.

Therefore, GCD of numbers 842, 806, 25, 874 is 1

Given Input Data is 842, 806, 25, 874

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 25 is 5 x 5

Prime Factorization of 874 is 2 x 19 x 23

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(842, 806) = 339326

GCD(842, 806) = ( 842 x 806 ) / 339326

GCD(842, 806) = 678652 / 339326

GCD(842, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 842, 806, 25, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 808, 24, 113
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• GCD of 582, 329, 78, 762

1. What is the GCD of 842, 806, 25, 874?

GCD of 842, 806, 25, 874 is 1

2. Where do I get the detailed procedure to find GCD of 842, 806, 25, 874?

You can find a detailed procedure to find GCD of 842, 806, 25, 874 on our page.

3. How to find GCD of 842, 806, 25, 874 on a calculator?

You can find the GCD of 842, 806, 25, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.