GCD of 302, 572, 436, 447 Calculator

Given Input numbers are 302, 572, 436, 447

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 302, 572, 436, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 572, 436, 447 is 1.

Therefore, GCD of numbers 302, 572, 436, 447 is 1

Given Input Data is 302, 572, 436, 447

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 447 is 3 x 149

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(302, 572) = 86372

GCD(302, 572) = ( 302 x 572 ) / 86372

GCD(302, 572) = 172744 / 86372

GCD(302, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 447

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

LCM(2, 447) = 894

GCD(2, 447) = ( 2 x 447 ) / 894

GCD(2, 447) = 894 / 894

GCD(2, 447) = 1

GCD of 302, 572, 436, 447 is 1

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1. What is the GCD of 302, 572, 436, 447?

GCD of 302, 572, 436, 447 is 1

2. Where do I get the detailed procedure to find GCD of 302, 572, 436, 447?

You can find a detailed procedure to find GCD of 302, 572, 436, 447 on our page.

3. How to find GCD of 302, 572, 436, 447 on a calculator?

You can find the GCD of 302, 572, 436, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.