GCD of 822, 351, 274, 298 Calculator

Given Input numbers are 822, 351, 274, 298

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 822, 351, 274, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 351, 274, 298 is 1.

Therefore, GCD of numbers 822, 351, 274, 298 is 1

Given Input Data is 822, 351, 274, 298

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 274 is 2 x 137

Prime Factorization of 298 is 2 x 149

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, 351) = 96174

GCD(822, 351) = ( 822 x 351 ) / 96174

GCD(822, 351) = 288522 / 96174

GCD(822, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 274

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

LCM(3, 274) = 822

GCD(3, 274) = ( 3 x 274 ) / 822

GCD(3, 274) = 822 / 822

GCD(3, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 822, 351, 274, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 506, 280, 923
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• GCD of 914, 952, 531, 299

1. What is the GCD of 822, 351, 274, 298?

GCD of 822, 351, 274, 298 is 1

2. Where do I get the detailed procedure to find GCD of 822, 351, 274, 298?

You can find a detailed procedure to find GCD of 822, 351, 274, 298 on our page.

3. How to find GCD of 822, 351, 274, 298 on a calculator?

You can find the GCD of 822, 351, 274, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.