GCD of 896, 256, 237 Calculator

Given Input numbers are 896, 256, 237

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Greatest Common Divisior

We found the divisors of 896, 256, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 256, 237 is 1.

Therefore, GCD of numbers 896, 256, 237 is 1

Given Input Data is 896, 256, 237

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 237 is 3 x 79

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(896, 256) = 1792

GCD(896, 256) = ( 896 x 256 ) / 1792

GCD(896, 256) = 229376 / 1792

GCD(896, 256) = 128

Step2:

Here we consider the GCD from the above i.e. 128 as first number and the next as 237

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

LCM(128, 237) = 30336

GCD(128, 237) = ( 128 x 237 ) / 30336

GCD(128, 237) = 30336 / 30336

GCD(128, 237) = 1

GCD of 896, 256, 237 is 1

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1. What is the GCD of 896, 256, 237?

GCD of 896, 256, 237 is 1

2. Where do I get the detailed procedure to find GCD of 896, 256, 237?

You can find a detailed procedure to find GCD of 896, 256, 237 on our page.

3. How to find GCD of 896, 256, 237 on a calculator?

You can find the GCD of 896, 256, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.