GCD of 729, 224, 456, 283 Calculator

Given Input numbers are 729, 224, 456, 283

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

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 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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 729, 224, 456, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 224, 456, 283 is 1.

Therefore, GCD of numbers 729, 224, 456, 283 is 1

Given Input Data is 729, 224, 456, 283

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 283 is 283

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(729, 224) = 163296

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

GCD(729, 224) = 163296 / 163296

GCD(729, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 283

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

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

GCD(1, 283) = 283 / 283

GCD(1, 283) = 1

GCD of 729, 224, 456, 283 is 1

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• GCD of 245, 449, 600, 753
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1. What is the GCD of 729, 224, 456, 283?

GCD of 729, 224, 456, 283 is 1

2. Where do I get the detailed procedure to find GCD of 729, 224, 456, 283?

You can find a detailed procedure to find GCD of 729, 224, 456, 283 on our page.

3. How to find GCD of 729, 224, 456, 283 on a calculator?

You can find the GCD of 729, 224, 456, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.