GCD of 24, 486, 816, 560 Calculator

Given Input numbers are 24, 486, 816, 560

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

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 24, 486, 816, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 486, 816, 560 is 2.

Therefore, GCD of numbers 24, 486, 816, 560 is 2

Given Input Data is 24, 486, 816, 560

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

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(24, 486) = 1944

GCD(24, 486) = ( 24 x 486 ) / 1944

GCD(24, 486) = 11664 / 1944

GCD(24, 486) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 816

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

LCM(6, 816) = 816

GCD(6, 816) = ( 6 x 816 ) / 816

GCD(6, 816) = 4896 / 816

GCD(6, 816) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 560

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

LCM(6, 560) = 1680

GCD(6, 560) = ( 6 x 560 ) / 1680

GCD(6, 560) = 3360 / 1680

GCD(6, 560) = 2

GCD of 24, 486, 816, 560 is 2

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1. What is the GCD of 24, 486, 816, 560?

GCD of 24, 486, 816, 560 is 2

2. Where do I get the detailed procedure to find GCD of 24, 486, 816, 560?

You can find a detailed procedure to find GCD of 24, 486, 816, 560 on our page.

3. How to find GCD of 24, 486, 816, 560 on a calculator?

You can find the GCD of 24, 486, 816, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.