GCD of 384, 264, 508 Calculator

Given Input numbers are 384, 264, 508

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 384, 264, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 264, 508 is 4.

Therefore, GCD of numbers 384, 264, 508 is 4

Given Input Data is 384, 264, 508

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 508 is 2 x 2 x 127

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(384, 264) = 4224

GCD(384, 264) = ( 384 x 264 ) / 4224

GCD(384, 264) = 101376 / 4224

GCD(384, 264) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 508

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

LCM(24, 508) = 3048

GCD(24, 508) = ( 24 x 508 ) / 3048

GCD(24, 508) = 12192 / 3048

GCD(24, 508) = 4

GCD of 384, 264, 508 is 4

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• GCD of 980, 734, 256
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1. What is the GCD of 384, 264, 508?

GCD of 384, 264, 508 is 4

2. Where do I get the detailed procedure to find GCD of 384, 264, 508?

You can find a detailed procedure to find GCD of 384, 264, 508 on our page.

3. How to find GCD of 384, 264, 508 on a calculator?

You can find the GCD of 384, 264, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.