GCD of 512, 330, 314 Calculator

Given Input numbers are 512, 330, 314

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

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 512, 330, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 330, 314 is 2.

Therefore, GCD of numbers 512, 330, 314 is 2

Given Input Data is 512, 330, 314

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

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 330 is 2 x 3 x 5 x 11

Prime Factorization of 314 is 2 x 157

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(512, 330) = 84480

GCD(512, 330) = ( 512 x 330 ) / 84480

GCD(512, 330) = 168960 / 84480

GCD(512, 330) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 512, 330, 314 is 2

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• GCD of 367, 529, 596
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1. What is the GCD of 512, 330, 314?

GCD of 512, 330, 314 is 2

2. Where do I get the detailed procedure to find GCD of 512, 330, 314?

You can find a detailed procedure to find GCD of 512, 330, 314 on our page.

3. How to find GCD of 512, 330, 314 on a calculator?

You can find the GCD of 512, 330, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.