GCD of 16, 240, 234, 317 Calculator

Given Input numbers are 16, 240, 234, 317

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 317

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

1, 317

Greatest Common Divisior

We found the divisors of 16, 240, 234, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 240, 234, 317 is 1.

Therefore, GCD of numbers 16, 240, 234, 317 is 1

Given Input Data is 16, 240, 234, 317

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 317 is 317

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(16, 240) = 240

GCD(16, 240) = ( 16 x 240 ) / 240

GCD(16, 240) = 3840 / 240

GCD(16, 240) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 234

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

LCM(16, 234) = 1872

GCD(16, 234) = ( 16 x 234 ) / 1872

GCD(16, 234) = 3744 / 1872

GCD(16, 234) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 317

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

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

GCD(2, 317) = 634 / 634

GCD(2, 317) = 1

GCD of 16, 240, 234, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 515, 466, 663
• GCD of 38, 516, 287, 951
• GCD of 41, 318, 882, 313
• GCD of 21, 540, 677, 773
• GCD of 76, 765, 963, 859

1. What is the GCD of 16, 240, 234, 317?

GCD of 16, 240, 234, 317 is 1

2. Where do I get the detailed procedure to find GCD of 16, 240, 234, 317?

You can find a detailed procedure to find GCD of 16, 240, 234, 317 on our page.

3. How to find GCD of 16, 240, 234, 317 on a calculator?

You can find the GCD of 16, 240, 234, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.