GCD of 338, 503, 512 Calculator

Given Input numbers are 338, 503, 512

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

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 338, 503, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 503, 512 is 1.

Therefore, GCD of numbers 338, 503, 512 is 1

Given Input Data is 338, 503, 512

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 503 is 503

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(338, 503) = 170014

GCD(338, 503) = ( 338 x 503 ) / 170014

GCD(338, 503) = 170014 / 170014

GCD(338, 503) = 1

Step2:

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 338, 503, 512 is 1

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1. What is the GCD of 338, 503, 512?

GCD of 338, 503, 512 is 1

2. Where do I get the detailed procedure to find GCD of 338, 503, 512?

You can find a detailed procedure to find GCD of 338, 503, 512 on our page.

3. How to find GCD of 338, 503, 512 on a calculator?

You can find the GCD of 338, 503, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.