GCD of 238, 224, 51, 556 Calculator

Given Input numbers are 238, 224, 51, 556

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 238, 224, 51, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 224, 51, 556 is 1.

Therefore, GCD of numbers 238, 224, 51, 556 is 1

Given Input Data is 238, 224, 51, 556

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 51 is 3 x 17

Prime Factorization of 556 is 2 x 2 x 139

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(238, 224) = 3808

GCD(238, 224) = ( 238 x 224 ) / 3808

GCD(238, 224) = 53312 / 3808

GCD(238, 224) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 51

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

LCM(14, 51) = 714

GCD(14, 51) = ( 14 x 51 ) / 714

GCD(14, 51) = 714 / 714

GCD(14, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 238, 224, 51, 556 is 1

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1. What is the GCD of 238, 224, 51, 556?

GCD of 238, 224, 51, 556 is 1

2. Where do I get the detailed procedure to find GCD of 238, 224, 51, 556?

You can find a detailed procedure to find GCD of 238, 224, 51, 556 on our page.

3. How to find GCD of 238, 224, 51, 556 on a calculator?

You can find the GCD of 238, 224, 51, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.