GCD of 558, 472, 50 Calculator

Given Input numbers are 558, 472, 50

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 558, 472, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 472, 50 is 2.

Therefore, GCD of numbers 558, 472, 50 is 2

Given Input Data is 558, 472, 50

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 50 is 2 x 5 x 5

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, 472) = 131688

GCD(558, 472) = ( 558 x 472 ) / 131688

GCD(558, 472) = 263376 / 131688

GCD(558, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

GCD of 558, 472, 50 is 2

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1. What is the GCD of 558, 472, 50?

GCD of 558, 472, 50 is 2

2. Where do I get the detailed procedure to find GCD of 558, 472, 50?

You can find a detailed procedure to find GCD of 558, 472, 50 on our page.

3. How to find GCD of 558, 472, 50 on a calculator?

You can find the GCD of 558, 472, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.