GCD of 322, 897, 18, 259 Calculator

Given Input numbers are 322, 897, 18, 259

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 322, 897, 18, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 897, 18, 259 is 1.

Therefore, GCD of numbers 322, 897, 18, 259 is 1

Given Input Data is 322, 897, 18, 259

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 259 is 7 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(322, 897) = 12558

GCD(322, 897) = ( 322 x 897 ) / 12558

GCD(322, 897) = 288834 / 12558

GCD(322, 897) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 18

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

LCM(23, 18) = 414

GCD(23, 18) = ( 23 x 18 ) / 414

GCD(23, 18) = 414 / 414

GCD(23, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 322, 897, 18, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 516, 33, 208
• GCD of 547, 101, 53, 538
• GCD of 299, 898, 81, 231
• GCD of 125, 177, 30, 706
• GCD of 932, 980, 27, 830

1. What is the GCD of 322, 897, 18, 259?

GCD of 322, 897, 18, 259 is 1

2. Where do I get the detailed procedure to find GCD of 322, 897, 18, 259?

You can find a detailed procedure to find GCD of 322, 897, 18, 259 on our page.

3. How to find GCD of 322, 897, 18, 259 on a calculator?

You can find the GCD of 322, 897, 18, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.