GCD of 384, 457, 289, 895 Calculator

Given Input numbers are 384, 457, 289, 895

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 384, 457, 289, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 457, 289, 895 is 1.

Therefore, GCD of numbers 384, 457, 289, 895 is 1

Given Input Data is 384, 457, 289, 895

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 457 is 457

Prime Factorization of 289 is 17 x 17

Prime Factorization of 895 is 5 x 179

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(384, 457) = 175488

GCD(384, 457) = ( 384 x 457 ) / 175488

GCD(384, 457) = 175488 / 175488

GCD(384, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 384, 457, 289, 895 is 1

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1. What is the GCD of 384, 457, 289, 895?

GCD of 384, 457, 289, 895 is 1

2. Where do I get the detailed procedure to find GCD of 384, 457, 289, 895?

You can find a detailed procedure to find GCD of 384, 457, 289, 895 on our page.

3. How to find GCD of 384, 457, 289, 895 on a calculator?

You can find the GCD of 384, 457, 289, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.