GCD of 538, 216, 897, 806 Calculator

Given Input numbers are 538, 216, 897, 806

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 806

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

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

Greatest Common Divisior

We found the divisors of 538, 216, 897, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 216, 897, 806 is 1.

Therefore, GCD of numbers 538, 216, 897, 806 is 1

Given Input Data is 538, 216, 897, 806

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 806 is 2 x 13 x 31

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(538, 216) = 58104

GCD(538, 216) = ( 538 x 216 ) / 58104

GCD(538, 216) = 116208 / 58104

GCD(538, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 538, 216, 897, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 582, 172, 908
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• GCD of 346, 813, 824, 553

1. What is the GCD of 538, 216, 897, 806?

GCD of 538, 216, 897, 806 is 1

2. Where do I get the detailed procedure to find GCD of 538, 216, 897, 806?

You can find a detailed procedure to find GCD of 538, 216, 897, 806 on our page.

3. How to find GCD of 538, 216, 897, 806 on a calculator?

You can find the GCD of 538, 216, 897, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.