GCD of 984, 276, 566, 482 Calculator

Given Input numbers are 984, 276, 566, 482

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 566

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

1, 2, 283, 566

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 984, 276, 566, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 276, 566, 482 is 2.

Therefore, GCD of numbers 984, 276, 566, 482 is 2

Given Input Data is 984, 276, 566, 482

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 566 is 2 x 283

Prime Factorization of 482 is 2 x 241

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(984, 276) = 22632

GCD(984, 276) = ( 984 x 276 ) / 22632

GCD(984, 276) = 271584 / 22632

GCD(984, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 566

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

LCM(12, 566) = 3396

GCD(12, 566) = ( 12 x 566 ) / 3396

GCD(12, 566) = 6792 / 3396

GCD(12, 566) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 482

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

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

GCD(2, 482) = 964 / 482

GCD(2, 482) = 2

GCD of 984, 276, 566, 482 is 2

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1. What is the GCD of 984, 276, 566, 482?

GCD of 984, 276, 566, 482 is 2

2. Where do I get the detailed procedure to find GCD of 984, 276, 566, 482?

You can find a detailed procedure to find GCD of 984, 276, 566, 482 on our page.

3. How to find GCD of 984, 276, 566, 482 on a calculator?

You can find the GCD of 984, 276, 566, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.