GCD of 522, 711, 12, 838 Calculator

Given Input numbers are 522, 711, 12, 838

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 522, 711, 12, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 711, 12, 838 is 1.

Therefore, GCD of numbers 522, 711, 12, 838 is 1

Given Input Data is 522, 711, 12, 838

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 838 is 2 x 419

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(522, 711) = 41238

GCD(522, 711) = ( 522 x 711 ) / 41238

GCD(522, 711) = 371142 / 41238

GCD(522, 711) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 12

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

LCM(9, 12) = 36

GCD(9, 12) = ( 9 x 12 ) / 36

GCD(9, 12) = 108 / 36

GCD(9, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 838

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

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

GCD(3, 838) = 2514 / 2514

GCD(3, 838) = 1

GCD of 522, 711, 12, 838 is 1

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• GCD of 358, 722, 22, 684
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1. What is the GCD of 522, 711, 12, 838?

GCD of 522, 711, 12, 838 is 1

2. Where do I get the detailed procedure to find GCD of 522, 711, 12, 838?

You can find a detailed procedure to find GCD of 522, 711, 12, 838 on our page.

3. How to find GCD of 522, 711, 12, 838 on a calculator?

You can find the GCD of 522, 711, 12, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.