GCD of 576, 422, 381 Calculator

Given Input numbers are 576, 422, 381

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 576, 422, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 422, 381 is 1.

Therefore, GCD of numbers 576, 422, 381 is 1

Given Input Data is 576, 422, 381

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 422 is 2 x 211

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(576, 422) = 121536

GCD(576, 422) = ( 576 x 422 ) / 121536

GCD(576, 422) = 243072 / 121536

GCD(576, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 576, 422, 381 is 1

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1. What is the GCD of 576, 422, 381?

GCD of 576, 422, 381 is 1

2. Where do I get the detailed procedure to find GCD of 576, 422, 381?

You can find a detailed procedure to find GCD of 576, 422, 381 on our page.

3. How to find GCD of 576, 422, 381 on a calculator?

You can find the GCD of 576, 422, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.