GCD of 17, 314, 966, 227 Calculator

Given Input numbers are 17, 314, 966, 227

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 17, 314, 966, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 314, 966, 227 is 1.

Therefore, GCD of numbers 17, 314, 966, 227 is 1

Given Input Data is 17, 314, 966, 227

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

Prime Factorization of 17 is 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(17, 314) = 5338

GCD(17, 314) = ( 17 x 314 ) / 5338

GCD(17, 314) = 5338 / 5338

GCD(17, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 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 17, 314, 966, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 357, 145, 532
• GCD of 15, 123, 838, 249
• GCD of 36, 288, 245, 739
• GCD of 88, 896, 856, 165
• GCD of 78, 114, 303, 844

1. What is the GCD of 17, 314, 966, 227?

GCD of 17, 314, 966, 227 is 1

2. Where do I get the detailed procedure to find GCD of 17, 314, 966, 227?

You can find a detailed procedure to find GCD of 17, 314, 966, 227 on our page.

3. How to find GCD of 17, 314, 966, 227 on a calculator?

You can find the GCD of 17, 314, 966, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.