GCD of 728, 323, 14, 917 Calculator

Given Input numbers are 728, 323, 14, 917

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 728, 323, 14, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 323, 14, 917 is 1.

Therefore, GCD of numbers 728, 323, 14, 917 is 1

Given Input Data is 728, 323, 14, 917

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 323 is 17 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 917 is 7 x 131

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(728, 323) = 235144

GCD(728, 323) = ( 728 x 323 ) / 235144

GCD(728, 323) = 235144 / 235144

GCD(728, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 728, 323, 14, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 354, 91, 816
• GCD of 373, 713, 65, 907
• GCD of 583, 121, 20, 527
• GCD of 187, 540, 13, 408
• GCD of 320, 243, 54, 901

1. What is the GCD of 728, 323, 14, 917?

GCD of 728, 323, 14, 917 is 1

2. Where do I get the detailed procedure to find GCD of 728, 323, 14, 917?

You can find a detailed procedure to find GCD of 728, 323, 14, 917 on our page.

3. How to find GCD of 728, 323, 14, 917 on a calculator?

You can find the GCD of 728, 323, 14, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.