GCD of 723, 338, 24, 996 Calculator

Given Input numbers are 723, 338, 24, 996

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 723, 338, 24, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 338, 24, 996 is 1.

Therefore, GCD of numbers 723, 338, 24, 996 is 1

Given Input Data is 723, 338, 24, 996

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(723, 338) = 244374

GCD(723, 338) = ( 723 x 338 ) / 244374

GCD(723, 338) = 244374 / 244374

GCD(723, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 723, 338, 24, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 743, 97, 369
• GCD of 449, 195, 56, 976
• GCD of 658, 456, 86, 409
• GCD of 721, 547, 75, 111
• GCD of 604, 164, 53, 395

1. What is the GCD of 723, 338, 24, 996?

GCD of 723, 338, 24, 996 is 1

2. Where do I get the detailed procedure to find GCD of 723, 338, 24, 996?

You can find a detailed procedure to find GCD of 723, 338, 24, 996 on our page.

3. How to find GCD of 723, 338, 24, 996 on a calculator?

You can find the GCD of 723, 338, 24, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.