GCD of 564, 872, 99, 549 Calculator

Given Input numbers are 564, 872, 99, 549

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 564, 872, 99, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 872, 99, 549 is 1.

Therefore, GCD of numbers 564, 872, 99, 549 is 1

Given Input Data is 564, 872, 99, 549

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 549 is 3 x 3 x 61

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(564, 872) = 122952

GCD(564, 872) = ( 564 x 872 ) / 122952

GCD(564, 872) = 491808 / 122952

GCD(564, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 99

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

LCM(4, 99) = 396

GCD(4, 99) = ( 4 x 99 ) / 396

GCD(4, 99) = 396 / 396

GCD(4, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 564, 872, 99, 549 is 1

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1. What is the GCD of 564, 872, 99, 549?

GCD of 564, 872, 99, 549 is 1

2. Where do I get the detailed procedure to find GCD of 564, 872, 99, 549?

You can find a detailed procedure to find GCD of 564, 872, 99, 549 on our page.

3. How to find GCD of 564, 872, 99, 549 on a calculator?

You can find the GCD of 564, 872, 99, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.