GCD of 24, 408, 560, 792 Calculator

Given Input numbers are 24, 408, 560, 792

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

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

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 24, 408, 560, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 408, 560, 792 is 8.

Therefore, GCD of numbers 24, 408, 560, 792 is 8

Given Input Data is 24, 408, 560, 792

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 408 is 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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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, 408) = 408

GCD(24, 408) = ( 24 x 408 ) / 408

GCD(24, 408) = 9792 / 408

GCD(24, 408) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 560

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

LCM(24, 560) = 1680

GCD(24, 560) = ( 24 x 560 ) / 1680

GCD(24, 560) = 13440 / 1680

GCD(24, 560) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 792

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

LCM(8, 792) = 792

GCD(8, 792) = ( 8 x 792 ) / 792

GCD(8, 792) = 6336 / 792

GCD(8, 792) = 8

GCD of 24, 408, 560, 792 is 8

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1. What is the GCD of 24, 408, 560, 792?

GCD of 24, 408, 560, 792 is 8

2. Where do I get the detailed procedure to find GCD of 24, 408, 560, 792?

You can find a detailed procedure to find GCD of 24, 408, 560, 792 on our page.

3. How to find GCD of 24, 408, 560, 792 on a calculator?

You can find the GCD of 24, 408, 560, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.