GCD of 822, 303, 722, 322 Calculator

Given Input numbers are 822, 303, 722, 322

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 322

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

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

Greatest Common Divisior

We found the divisors of 822, 303, 722, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 303, 722, 322 is 1.

Therefore, GCD of numbers 822, 303, 722, 322 is 1

Given Input Data is 822, 303, 722, 322

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 303 is 3 x 101

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 322 is 2 x 7 x 23

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(822, 303) = 83022

GCD(822, 303) = ( 822 x 303 ) / 83022

GCD(822, 303) = 249066 / 83022

GCD(822, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 822, 303, 722, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 458, 963, 270
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• GCD of 553, 640, 879, 271

1. What is the GCD of 822, 303, 722, 322?

GCD of 822, 303, 722, 322 is 1

2. Where do I get the detailed procedure to find GCD of 822, 303, 722, 322?

You can find a detailed procedure to find GCD of 822, 303, 722, 322 on our page.

3. How to find GCD of 822, 303, 722, 322 on a calculator?

You can find the GCD of 822, 303, 722, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.