GCD of 286, 327, 224 Calculator

Given Input numbers are 286, 327, 224

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

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

Greatest Common Divisior

We found the divisors of 286, 327, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 327, 224 is 1.

Therefore, GCD of numbers 286, 327, 224 is 1

Given Input Data is 286, 327, 224

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 327 is 3 x 109

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(286, 327) = 93522

GCD(286, 327) = ( 286 x 327 ) / 93522

GCD(286, 327) = 93522 / 93522

GCD(286, 327) = 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

GCD of 286, 327, 224 is 1

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1. What is the GCD of 286, 327, 224?

GCD of 286, 327, 224 is 1

2. Where do I get the detailed procedure to find GCD of 286, 327, 224?

You can find a detailed procedure to find GCD of 286, 327, 224 on our page.

3. How to find GCD of 286, 327, 224 on a calculator?

You can find the GCD of 286, 327, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.