GCD of 317, 180, 24, 464 Calculator

Given Input numbers are 317, 180, 24, 464

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 317, 180, 24, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 180, 24, 464 is 1.

Therefore, GCD of numbers 317, 180, 24, 464 is 1

Given Input Data is 317, 180, 24, 464

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

Prime Factorization of 317 is 317

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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

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(317, 180) = 57060

GCD(317, 180) = ( 317 x 180 ) / 57060

GCD(317, 180) = 57060 / 57060

GCD(317, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 317, 180, 24, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 469, 98, 765
• GCD of 132, 612, 10, 546
• GCD of 311, 766, 36, 975
• GCD of 459, 386, 39, 630
• GCD of 415, 161, 56, 752

1. What is the GCD of 317, 180, 24, 464?

GCD of 317, 180, 24, 464 is 1

2. Where do I get the detailed procedure to find GCD of 317, 180, 24, 464?

You can find a detailed procedure to find GCD of 317, 180, 24, 464 on our page.

3. How to find GCD of 317, 180, 24, 464 on a calculator?

You can find the GCD of 317, 180, 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.