GCD of 363, 323, 796, 722 Calculator

Given Input numbers are 363, 323, 796, 722

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 323

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

1, 17, 19, 323

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 363, 323, 796, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 323, 796, 722 is 1.

Therefore, GCD of numbers 363, 323, 796, 722 is 1

Given Input Data is 363, 323, 796, 722

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 323 is 17 x 19

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 722 is 2 x 19 x 19

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(363, 323) = 117249

GCD(363, 323) = ( 363 x 323 ) / 117249

GCD(363, 323) = 117249 / 117249

GCD(363, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 363, 323, 796, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 569, 830, 779
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• GCD of 366, 122, 325, 775

1. What is the GCD of 363, 323, 796, 722?

GCD of 363, 323, 796, 722 is 1

2. Where do I get the detailed procedure to find GCD of 363, 323, 796, 722?

You can find a detailed procedure to find GCD of 363, 323, 796, 722 on our page.

3. How to find GCD of 363, 323, 796, 722 on a calculator?

You can find the GCD of 363, 323, 796, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.