GCD of 292, 558, 28, 572 Calculator

Given Input numbers are 292, 558, 28, 572

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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

Greatest Common Divisior

We found the divisors of 292, 558, 28, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 558, 28, 572 is 2.

Therefore, GCD of numbers 292, 558, 28, 572 is 2

Given Input Data is 292, 558, 28, 572

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 28 is 2 x 2 x 7

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

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(292, 558) = 81468

GCD(292, 558) = ( 292 x 558 ) / 81468

GCD(292, 558) = 162936 / 81468

GCD(292, 558) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 292, 558, 28, 572 is 2

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1. What is the GCD of 292, 558, 28, 572?

GCD of 292, 558, 28, 572 is 2

2. Where do I get the detailed procedure to find GCD of 292, 558, 28, 572?

You can find a detailed procedure to find GCD of 292, 558, 28, 572 on our page.

3. How to find GCD of 292, 558, 28, 572 on a calculator?

You can find the GCD of 292, 558, 28, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.