GCD of 330, 813, 47, 343 Calculator

Given Input numbers are 330, 813, 47, 343

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 330, 813, 47, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 813, 47, 343 is 1.

Therefore, GCD of numbers 330, 813, 47, 343 is 1

Given Input Data is 330, 813, 47, 343

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 813 is 3 x 271

Prime Factorization of 47 is 47

Prime Factorization of 343 is 7 x 7 x 7

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(330, 813) = 89430

GCD(330, 813) = ( 330 x 813 ) / 89430

GCD(330, 813) = 268290 / 89430

GCD(330, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 330, 813, 47, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 878, 14, 173
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• GCD of 685, 686, 99, 195
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• GCD of 315, 766, 31, 260

1. What is the GCD of 330, 813, 47, 343?

GCD of 330, 813, 47, 343 is 1

2. Where do I get the detailed procedure to find GCD of 330, 813, 47, 343?

You can find a detailed procedure to find GCD of 330, 813, 47, 343 on our page.

3. How to find GCD of 330, 813, 47, 343 on a calculator?

You can find the GCD of 330, 813, 47, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.