GCD of 531, 819, 576, 616 Calculator

Given Input numbers are 531, 819, 576, 616

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Greatest Common Divisior

We found the divisors of 531, 819, 576, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 819, 576, 616 is 1.

Therefore, GCD of numbers 531, 819, 576, 616 is 1

Given Input Data is 531, 819, 576, 616

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

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(531, 819) = 48321

GCD(531, 819) = ( 531 x 819 ) / 48321

GCD(531, 819) = 434889 / 48321

GCD(531, 819) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 576

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

LCM(9, 576) = 576

GCD(9, 576) = ( 9 x 576 ) / 576

GCD(9, 576) = 5184 / 576

GCD(9, 576) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 616

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

LCM(9, 616) = 5544

GCD(9, 616) = ( 9 x 616 ) / 5544

GCD(9, 616) = 5544 / 5544

GCD(9, 616) = 1

GCD of 531, 819, 576, 616 is 1

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1. What is the GCD of 531, 819, 576, 616?

GCD of 531, 819, 576, 616 is 1

2. Where do I get the detailed procedure to find GCD of 531, 819, 576, 616?

You can find a detailed procedure to find GCD of 531, 819, 576, 616 on our page.

3. How to find GCD of 531, 819, 576, 616 on a calculator?

You can find the GCD of 531, 819, 576, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.