GCD of 506, 918, 24, 924 Calculator

Given Input numbers are 506, 918, 24, 924

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 506, 918, 24, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 918, 24, 924 is 2.

Therefore, GCD of numbers 506, 918, 24, 924 is 2

Given Input Data is 506, 918, 24, 924

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 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 924 is 2 x 2 x 3 x 7 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(506, 918) = 232254

GCD(506, 918) = ( 506 x 918 ) / 232254

GCD(506, 918) = 464508 / 232254

GCD(506, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 506, 918, 24, 924 is 2

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1. What is the GCD of 506, 918, 24, 924?

GCD of 506, 918, 24, 924 is 2

2. Where do I get the detailed procedure to find GCD of 506, 918, 24, 924?

You can find a detailed procedure to find GCD of 506, 918, 24, 924 on our page.

3. How to find GCD of 506, 918, 24, 924 on a calculator?

You can find the GCD of 506, 918, 24, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.