GCD of 256, 337, 42 Calculator

Given Input numbers are 256, 337, 42

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 256, 337, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 337, 42 is 1.

Therefore, GCD of numbers 256, 337, 42 is 1

Given Input Data is 256, 337, 42

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 337 is 337

Prime Factorization of 42 is 2 x 3 x 7

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(256, 337) = 86272

GCD(256, 337) = ( 256 x 337 ) / 86272

GCD(256, 337) = 86272 / 86272

GCD(256, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 256, 337, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 210, 28
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• GCD of 460, 745, 65
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1. What is the GCD of 256, 337, 42?

GCD of 256, 337, 42 is 1

2. Where do I get the detailed procedure to find GCD of 256, 337, 42?

You can find a detailed procedure to find GCD of 256, 337, 42 on our page.

3. How to find GCD of 256, 337, 42 on a calculator?

You can find the GCD of 256, 337, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.