GCD of 213, 552, 809, 512 Calculator

Given Input numbers are 213, 552, 809, 512

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 213, 552, 809, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 552, 809, 512 is 1.

Therefore, GCD of numbers 213, 552, 809, 512 is 1

Given Input Data is 213, 552, 809, 512

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 809 is 809

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(213, 552) = 39192

GCD(213, 552) = ( 213 x 552 ) / 39192

GCD(213, 552) = 117576 / 39192

GCD(213, 552) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 809

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

LCM(3, 809) = 2427

GCD(3, 809) = ( 3 x 809 ) / 2427

GCD(3, 809) = 2427 / 2427

GCD(3, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 213, 552, 809, 512 is 1

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1. What is the GCD of 213, 552, 809, 512?

GCD of 213, 552, 809, 512 is 1

2. Where do I get the detailed procedure to find GCD of 213, 552, 809, 512?

You can find a detailed procedure to find GCD of 213, 552, 809, 512 on our page.

3. How to find GCD of 213, 552, 809, 512 on a calculator?

You can find the GCD of 213, 552, 809, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.