GCD of 317, 512, 51, 809 Calculator

Given Input numbers are 317, 512, 51, 809

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 809

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

1, 809

Greatest Common Divisior

We found the divisors of 317, 512, 51, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 512, 51, 809 is 1.

Therefore, GCD of numbers 317, 512, 51, 809 is 1

Given Input Data is 317, 512, 51, 809

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

Prime Factorization of 317 is 317

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 809 is 809

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(317, 512) = 162304

GCD(317, 512) = ( 317 x 512 ) / 162304

GCD(317, 512) = 162304 / 162304

GCD(317, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 317, 512, 51, 809 is 1

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1. What is the GCD of 317, 512, 51, 809?

GCD of 317, 512, 51, 809 is 1

2. Where do I get the detailed procedure to find GCD of 317, 512, 51, 809?

You can find a detailed procedure to find GCD of 317, 512, 51, 809 on our page.

3. How to find GCD of 317, 512, 51, 809 on a calculator?

You can find the GCD of 317, 512, 51, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.