GCD of 323, 304, 21, 104 Calculator

Given Input numbers are 323, 304, 21, 104

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

Divisors of 323

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

1, 17, 19, 323

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 323, 304, 21, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 304, 21, 104 is 1.

Therefore, GCD of numbers 323, 304, 21, 104 is 1

Given Input Data is 323, 304, 21, 104

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 21 is 3 x 7

Prime Factorization of 104 is 2 x 2 x 2 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(323, 304) = 5168

GCD(323, 304) = ( 323 x 304 ) / 5168

GCD(323, 304) = 98192 / 5168

GCD(323, 304) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 21

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

LCM(19, 21) = 399

GCD(19, 21) = ( 19 x 21 ) / 399

GCD(19, 21) = 399 / 399

GCD(19, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 323, 304, 21, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 887, 20, 732
• GCD of 317, 820, 87, 409
• GCD of 499, 543, 21, 940
• GCD of 668, 180, 76, 383
• GCD of 509, 810, 48, 994

1. What is the GCD of 323, 304, 21, 104?

GCD of 323, 304, 21, 104 is 1

2. Where do I get the detailed procedure to find GCD of 323, 304, 21, 104?

You can find a detailed procedure to find GCD of 323, 304, 21, 104 on our page.

3. How to find GCD of 323, 304, 21, 104 on a calculator?

You can find the GCD of 323, 304, 21, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.