GCD of 844, 741, 224, 256 Calculator

Given Input numbers are 844, 741, 224, 256

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

Greatest Common Divisior

We found the divisors of 844, 741, 224, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 741, 224, 256 is 1.

Therefore, GCD of numbers 844, 741, 224, 256 is 1

Given Input Data is 844, 741, 224, 256

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 224 is 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

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(844, 741) = 625404

GCD(844, 741) = ( 844 x 741 ) / 625404

GCD(844, 741) = 625404 / 625404

GCD(844, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 844, 741, 224, 256 is 1

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1. What is the GCD of 844, 741, 224, 256?

GCD of 844, 741, 224, 256 is 1

2. Where do I get the detailed procedure to find GCD of 844, 741, 224, 256?

You can find a detailed procedure to find GCD of 844, 741, 224, 256 on our page.

3. How to find GCD of 844, 741, 224, 256 on a calculator?

You can find the GCD of 844, 741, 224, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.