GCD of 24, 315, 361, 227 Calculator

Given Input numbers are 24, 315, 361, 227

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 24, 315, 361, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 315, 361, 227 is 1.

Therefore, GCD of numbers 24, 315, 361, 227 is 1

Given Input Data is 24, 315, 361, 227

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 361 is 19 x 19

Prime Factorization of 227 is 227

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(24, 315) = 2520

GCD(24, 315) = ( 24 x 315 ) / 2520

GCD(24, 315) = 7560 / 2520

GCD(24, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 361

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

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

GCD(3, 361) = 1083 / 1083

GCD(3, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 24, 315, 361, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 793, 836, 619
• GCD of 28, 695, 290, 287
• GCD of 36, 995, 949, 981
• GCD of 67, 175, 860, 722
• GCD of 90, 675, 209, 764

1. What is the GCD of 24, 315, 361, 227?

GCD of 24, 315, 361, 227 is 1

2. Where do I get the detailed procedure to find GCD of 24, 315, 361, 227?

You can find a detailed procedure to find GCD of 24, 315, 361, 227 on our page.

3. How to find GCD of 24, 315, 361, 227 on a calculator?

You can find the GCD of 24, 315, 361, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.