GCD of 284, 564, 990, 544 Calculator

Given Input numbers are 284, 564, 990, 544

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 284, 564, 990, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 564, 990, 544 is 2.

Therefore, GCD of numbers 284, 564, 990, 544 is 2

Given Input Data is 284, 564, 990, 544

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(284, 564) = 40044

GCD(284, 564) = ( 284 x 564 ) / 40044

GCD(284, 564) = 160176 / 40044

GCD(284, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 990

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

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

GCD(4, 990) = 3960 / 1980

GCD(4, 990) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

GCD of 284, 564, 990, 544 is 2

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1. What is the GCD of 284, 564, 990, 544?

GCD of 284, 564, 990, 544 is 2

2. Where do I get the detailed procedure to find GCD of 284, 564, 990, 544?

You can find a detailed procedure to find GCD of 284, 564, 990, 544 on our page.

3. How to find GCD of 284, 564, 990, 544 on a calculator?

You can find the GCD of 284, 564, 990, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.