GCD of 309, 247, 371, 822 Calculator

Given Input numbers are 309, 247, 371, 822

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 309, 247, 371, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 247, 371, 822 is 1.

Therefore, GCD of numbers 309, 247, 371, 822 is 1

Given Input Data is 309, 247, 371, 822

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 247 is 13 x 19

Prime Factorization of 371 is 7 x 53

Prime Factorization of 822 is 2 x 3 x 137

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(309, 247) = 76323

GCD(309, 247) = ( 309 x 247 ) / 76323

GCD(309, 247) = 76323 / 76323

GCD(309, 247) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 309, 247, 371, 822 is 1

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1. What is the GCD of 309, 247, 371, 822?

GCD of 309, 247, 371, 822 is 1

2. Where do I get the detailed procedure to find GCD of 309, 247, 371, 822?

You can find a detailed procedure to find GCD of 309, 247, 371, 822 on our page.

3. How to find GCD of 309, 247, 371, 822 on a calculator?

You can find the GCD of 309, 247, 371, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.