GCD of 224, 256, 42, 533 Calculator

Given Input numbers are 224, 256, 42, 533

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

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

Divisors of 42

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

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 224, 256, 42, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 256, 42, 533 is 1.

Therefore, GCD of numbers 224, 256, 42, 533 is 1

Given Input Data is 224, 256, 42, 533

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

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 533 is 13 x 41

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(224, 256) = 1792

GCD(224, 256) = ( 224 x 256 ) / 1792

GCD(224, 256) = 57344 / 1792

GCD(224, 256) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 42

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

LCM(32, 42) = 672

GCD(32, 42) = ( 32 x 42 ) / 672

GCD(32, 42) = 1344 / 672

GCD(32, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

GCD of 224, 256, 42, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 816, 24, 330
• GCD of 190, 205, 29, 220
• GCD of 441, 609, 42, 152
• GCD of 170, 364, 66, 310
• GCD of 140, 521, 68, 617

1. What is the GCD of 224, 256, 42, 533?

GCD of 224, 256, 42, 533 is 1

2. Where do I get the detailed procedure to find GCD of 224, 256, 42, 533?

You can find a detailed procedure to find GCD of 224, 256, 42, 533 on our page.

3. How to find GCD of 224, 256, 42, 533 on a calculator?

You can find the GCD of 224, 256, 42, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.