GCD of 424, 518, 24, 464 Calculator

Given Input numbers are 424, 518, 24, 464

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 424, 518, 24, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 518, 24, 464 is 2.

Therefore, GCD of numbers 424, 518, 24, 464 is 2

Given Input Data is 424, 518, 24, 464

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 518 is 2 x 7 x 37

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(424, 518) = 109816

GCD(424, 518) = ( 424 x 518 ) / 109816

GCD(424, 518) = 219632 / 109816

GCD(424, 518) = 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 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 424, 518, 24, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 880, 53, 561
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• GCD of 920, 891, 16, 277

1. What is the GCD of 424, 518, 24, 464?

GCD of 424, 518, 24, 464 is 2

2. Where do I get the detailed procedure to find GCD of 424, 518, 24, 464?

You can find a detailed procedure to find GCD of 424, 518, 24, 464 on our page.

3. How to find GCD of 424, 518, 24, 464 on a calculator?

You can find the GCD of 424, 518, 24, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.