GCD of 306, 493, 71, 822 Calculator

Given Input numbers are 306, 493, 71, 822

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 306, 493, 71, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 493, 71, 822 is 1.

Therefore, GCD of numbers 306, 493, 71, 822 is 1

Given Input Data is 306, 493, 71, 822

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 493 is 17 x 29

Prime Factorization of 71 is 71

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(306, 493) = 8874

GCD(306, 493) = ( 306 x 493 ) / 8874

GCD(306, 493) = 150858 / 8874

GCD(306, 493) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 71

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

LCM(17, 71) = 1207

GCD(17, 71) = ( 17 x 71 ) / 1207

GCD(17, 71) = 1207 / 1207

GCD(17, 71) = 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 306, 493, 71, 822 is 1

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• GCD of 577, 179, 53, 317
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1. What is the GCD of 306, 493, 71, 822?

GCD of 306, 493, 71, 822 is 1

2. Where do I get the detailed procedure to find GCD of 306, 493, 71, 822?

You can find a detailed procedure to find GCD of 306, 493, 71, 822 on our page.

3. How to find GCD of 306, 493, 71, 822 on a calculator?

You can find the GCD of 306, 493, 71, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.