GCD of 558, 660, 58, 484 Calculator

Given Input numbers are 558, 660, 58, 484

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

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 558, 660, 58, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 660, 58, 484 is 2.

Therefore, GCD of numbers 558, 660, 58, 484 is 2

Given Input Data is 558, 660, 58, 484

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

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 58 is 2 x 29

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(558, 660) = 61380

GCD(558, 660) = ( 558 x 660 ) / 61380

GCD(558, 660) = 368280 / 61380

GCD(558, 660) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 58

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

LCM(6, 58) = 174

GCD(6, 58) = ( 6 x 58 ) / 174

GCD(6, 58) = 348 / 174

GCD(6, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

GCD of 558, 660, 58, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 422, 20, 216
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• GCD of 557, 935, 66, 729
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• GCD of 315, 255, 11, 108

1. What is the GCD of 558, 660, 58, 484?

GCD of 558, 660, 58, 484 is 2

2. Where do I get the detailed procedure to find GCD of 558, 660, 58, 484?

You can find a detailed procedure to find GCD of 558, 660, 58, 484 on our page.

3. How to find GCD of 558, 660, 58, 484 on a calculator?

You can find the GCD of 558, 660, 58, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.