GCD of 616, 724, 447, 571 Calculator

Given Input numbers are 616, 724, 447, 571

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 447

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

1, 3, 149, 447

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 616, 724, 447, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 724, 447, 571 is 1.

Therefore, GCD of numbers 616, 724, 447, 571 is 1

Given Input Data is 616, 724, 447, 571

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 447 is 3 x 149

Prime Factorization of 571 is 571

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(616, 724) = 111496

GCD(616, 724) = ( 616 x 724 ) / 111496

GCD(616, 724) = 445984 / 111496

GCD(616, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 447

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

LCM(4, 447) = 1788

GCD(4, 447) = ( 4 x 447 ) / 1788

GCD(4, 447) = 1788 / 1788

GCD(4, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 616, 724, 447, 571 is 1

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1. What is the GCD of 616, 724, 447, 571?

GCD of 616, 724, 447, 571 is 1

2. Where do I get the detailed procedure to find GCD of 616, 724, 447, 571?

You can find a detailed procedure to find GCD of 616, 724, 447, 571 on our page.

3. How to find GCD of 616, 724, 447, 571 on a calculator?

You can find the GCD of 616, 724, 447, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.