GCD of 294, 320, 512 Calculator

Given Input numbers are 294, 320, 512

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 294, 320, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 320, 512 is 2.

Therefore, GCD of numbers 294, 320, 512 is 2

Given Input Data is 294, 320, 512

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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

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(294, 320) = 47040

GCD(294, 320) = ( 294 x 320 ) / 47040

GCD(294, 320) = 94080 / 47040

GCD(294, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

GCD of 294, 320, 512 is 2

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1. What is the GCD of 294, 320, 512?

GCD of 294, 320, 512 is 2

2. Where do I get the detailed procedure to find GCD of 294, 320, 512?

You can find a detailed procedure to find GCD of 294, 320, 512 on our page.

3. How to find GCD of 294, 320, 512 on a calculator?

You can find the GCD of 294, 320, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.