GCD of 384, 304, 992 Calculator

Given Input numbers are 384, 304, 992

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 384, 304, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 304, 992 is 16.

Therefore, GCD of numbers 384, 304, 992 is 16

Given Input Data is 384, 304, 992

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 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2⁴

Multiplying them we get the GCD as 16

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, 304) = 7296

GCD(384, 304) = ( 384 x 304 ) / 7296

GCD(384, 304) = 116736 / 7296

GCD(384, 304) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 992

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

LCM(16, 992) = 992

GCD(16, 992) = ( 16 x 992 ) / 992

GCD(16, 992) = 15872 / 992

GCD(16, 992) = 16

GCD of 384, 304, 992 is 16

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1. What is the GCD of 384, 304, 992?

GCD of 384, 304, 992 is 16

2. Where do I get the detailed procedure to find GCD of 384, 304, 992?

You can find a detailed procedure to find GCD of 384, 304, 992 on our page.

3. How to find GCD of 384, 304, 992 on a calculator?

You can find the GCD of 384, 304, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.