GCD of 424, 339, 39, 512 Calculator

Given Input numbers are 424, 339, 39, 512

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 424, 339, 39, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 339, 39, 512 is 1.

Therefore, GCD of numbers 424, 339, 39, 512 is 1

Given Input Data is 424, 339, 39, 512

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 339 is 3 x 113

Prime Factorization of 39 is 3 x 13

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(424, 339) = 143736

GCD(424, 339) = ( 424 x 339 ) / 143736

GCD(424, 339) = 143736 / 143736

GCD(424, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 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 424, 339, 39, 512 is 1

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1. What is the GCD of 424, 339, 39, 512?

GCD of 424, 339, 39, 512 is 1

2. Where do I get the detailed procedure to find GCD of 424, 339, 39, 512?

You can find a detailed procedure to find GCD of 424, 339, 39, 512 on our page.

3. How to find GCD of 424, 339, 39, 512 on a calculator?

You can find the GCD of 424, 339, 39, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.