GCD of 176, 384, 24, 381 Calculator

Given Input numbers are 176, 384, 24, 381

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 176, 384, 24, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 384, 24, 381 is 1.

Therefore, GCD of numbers 176, 384, 24, 381 is 1

Given Input Data is 176, 384, 24, 381

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 381 is 3 x 127

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(176, 384) = 4224

GCD(176, 384) = ( 176 x 384 ) / 4224

GCD(176, 384) = 67584 / 4224

GCD(176, 384) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 24

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

LCM(16, 24) = 48

GCD(16, 24) = ( 16 x 24 ) / 48

GCD(16, 24) = 384 / 48

GCD(16, 24) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 381

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

LCM(8, 381) = 3048

GCD(8, 381) = ( 8 x 381 ) / 3048

GCD(8, 381) = 3048 / 3048

GCD(8, 381) = 1

GCD of 176, 384, 24, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 384, 54, 421
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• GCD of 451, 443, 37, 210

1. What is the GCD of 176, 384, 24, 381?

GCD of 176, 384, 24, 381 is 1

2. Where do I get the detailed procedure to find GCD of 176, 384, 24, 381?

You can find a detailed procedure to find GCD of 176, 384, 24, 381 on our page.

3. How to find GCD of 176, 384, 24, 381 on a calculator?

You can find the GCD of 176, 384, 24, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.