GCD of 566, 186, 584 Calculator

Given Input numbers are 566, 186, 584

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 566, 186, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 186, 584 is 2.

Therefore, GCD of numbers 566, 186, 584 is 2

Given Input Data is 566, 186, 584

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(566, 186) = 52638

GCD(566, 186) = ( 566 x 186 ) / 52638

GCD(566, 186) = 105276 / 52638

GCD(566, 186) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

GCD of 566, 186, 584 is 2

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1. What is the GCD of 566, 186, 584?

GCD of 566, 186, 584 is 2

2. Where do I get the detailed procedure to find GCD of 566, 186, 584?

You can find a detailed procedure to find GCD of 566, 186, 584 on our page.

3. How to find GCD of 566, 186, 584 on a calculator?

You can find the GCD of 566, 186, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.