GCD of 644, 326, 23, 338 Calculator

Given Input numbers are 644, 326, 23, 338

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 644, 326, 23, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 326, 23, 338 is 1.

Therefore, GCD of numbers 644, 326, 23, 338 is 1

Given Input Data is 644, 326, 23, 338

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 326 is 2 x 163

Prime Factorization of 23 is 23

Prime Factorization of 338 is 2 x 13 x 13

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(644, 326) = 104972

GCD(644, 326) = ( 644 x 326 ) / 104972

GCD(644, 326) = 209944 / 104972

GCD(644, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 644, 326, 23, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 153, 96, 931
• GCD of 336, 778, 52, 727
• GCD of 844, 711, 34, 157
• GCD of 708, 750, 45, 504
• GCD of 607, 672, 34, 529

1. What is the GCD of 644, 326, 23, 338?

GCD of 644, 326, 23, 338 is 1

2. Where do I get the detailed procedure to find GCD of 644, 326, 23, 338?

You can find a detailed procedure to find GCD of 644, 326, 23, 338 on our page.

3. How to find GCD of 644, 326, 23, 338 on a calculator?

You can find the GCD of 644, 326, 23, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.