GCD of 572, 806, 835, 898 Calculator

Given Input numbers are 572, 806, 835, 898

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 572, 806, 835, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 806, 835, 898 is 1.

Therefore, GCD of numbers 572, 806, 835, 898 is 1

Given Input Data is 572, 806, 835, 898

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 835 is 5 x 167

Prime Factorization of 898 is 2 x 449

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(572, 806) = 17732

GCD(572, 806) = ( 572 x 806 ) / 17732

GCD(572, 806) = 461032 / 17732

GCD(572, 806) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 835

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

LCM(26, 835) = 21710

GCD(26, 835) = ( 26 x 835 ) / 21710

GCD(26, 835) = 21710 / 21710

GCD(26, 835) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 572, 806, 835, 898 is 1

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1. What is the GCD of 572, 806, 835, 898?

GCD of 572, 806, 835, 898 is 1

2. Where do I get the detailed procedure to find GCD of 572, 806, 835, 898?

You can find a detailed procedure to find GCD of 572, 806, 835, 898 on our page.

3. How to find GCD of 572, 806, 835, 898 on a calculator?

You can find the GCD of 572, 806, 835, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.