GCD of 298, 460, 24, 585 Calculator

Given Input numbers are 298, 460, 24, 585

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 298, 460, 24, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 460, 24, 585 is 1.

Therefore, GCD of numbers 298, 460, 24, 585 is 1

Given Input Data is 298, 460, 24, 585

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(298, 460) = 68540

GCD(298, 460) = ( 298 x 460 ) / 68540

GCD(298, 460) = 137080 / 68540

GCD(298, 460) = 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 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 298, 460, 24, 585 is 1

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1. What is the GCD of 298, 460, 24, 585?

GCD of 298, 460, 24, 585 is 1

2. Where do I get the detailed procedure to find GCD of 298, 460, 24, 585?

You can find a detailed procedure to find GCD of 298, 460, 24, 585 on our page.

3. How to find GCD of 298, 460, 24, 585 on a calculator?

You can find the GCD of 298, 460, 24, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.