GCD of 224, 729, 413, 392 Calculator

Given Input numbers are 224, 729, 413, 392

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 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 224, 729, 413, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 729, 413, 392 is 1.

Therefore, GCD of numbers 224, 729, 413, 392 is 1

Given Input Data is 224, 729, 413, 392

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 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 413 is 7 x 59

Prime Factorization of 392 is 2 x 2 x 2 x 7 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(224, 729) = 163296

GCD(224, 729) = ( 224 x 729 ) / 163296

GCD(224, 729) = 163296 / 163296

GCD(224, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 224, 729, 413, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 348, 734, 564
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• GCD of 660, 142, 707, 776

1. What is the GCD of 224, 729, 413, 392?

GCD of 224, 729, 413, 392 is 1

2. Where do I get the detailed procedure to find GCD of 224, 729, 413, 392?

You can find a detailed procedure to find GCD of 224, 729, 413, 392 on our page.

3. How to find GCD of 224, 729, 413, 392 on a calculator?

You can find the GCD of 224, 729, 413, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.