GCD of 506, 300, 56, 488 Calculator

Given Input numbers are 506, 300, 56, 488

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 506, 300, 56, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 300, 56, 488 is 2.

Therefore, GCD of numbers 506, 300, 56, 488 is 2

Given Input Data is 506, 300, 56, 488

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(506, 300) = 75900

GCD(506, 300) = ( 506 x 300 ) / 75900

GCD(506, 300) = 151800 / 75900

GCD(506, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 506, 300, 56, 488 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 514, 11, 252
• GCD of 807, 564, 99, 320
• GCD of 873, 319, 55, 648
• GCD of 200, 474, 56, 355
• GCD of 262, 789, 49, 550

1. What is the GCD of 506, 300, 56, 488?

GCD of 506, 300, 56, 488 is 2

2. Where do I get the detailed procedure to find GCD of 506, 300, 56, 488?

You can find a detailed procedure to find GCD of 506, 300, 56, 488 on our page.

3. How to find GCD of 506, 300, 56, 488 on a calculator?

You can find the GCD of 506, 300, 56, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.