GCD of 397, 605, 14, 999 Calculator

Given Input numbers are 397, 605, 14, 999

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 14

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

1, 2, 7, 14

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 397, 605, 14, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 605, 14, 999 is 1.

Therefore, GCD of numbers 397, 605, 14, 999 is 1

Given Input Data is 397, 605, 14, 999

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

Prime Factorization of 397 is 397

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(397, 605) = 240185

GCD(397, 605) = ( 397 x 605 ) / 240185

GCD(397, 605) = 240185 / 240185

GCD(397, 605) = 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 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 397, 605, 14, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 357, 13, 738
• GCD of 910, 369, 60, 481
• GCD of 335, 240, 49, 378
• GCD of 301, 560, 59, 725
• GCD of 987, 757, 31, 943

1. What is the GCD of 397, 605, 14, 999?

GCD of 397, 605, 14, 999 is 1

2. Where do I get the detailed procedure to find GCD of 397, 605, 14, 999?

You can find a detailed procedure to find GCD of 397, 605, 14, 999 on our page.

3. How to find GCD of 397, 605, 14, 999 on a calculator?

You can find the GCD of 397, 605, 14, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.