GCD of 522, 702, 819, 793 Calculator

Given Input numbers are 522, 702, 819, 793

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 522, 702, 819, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 702, 819, 793 is 1.

Therefore, GCD of numbers 522, 702, 819, 793 is 1

Given Input Data is 522, 702, 819, 793

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 793 is 13 x 61

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, 702) = 20358

GCD(522, 702) = ( 522 x 702 ) / 20358

GCD(522, 702) = 366444 / 20358

GCD(522, 702) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 819

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

LCM(18, 819) = 1638

GCD(18, 819) = ( 18 x 819 ) / 1638

GCD(18, 819) = 14742 / 1638

GCD(18, 819) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 793

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

LCM(9, 793) = 7137

GCD(9, 793) = ( 9 x 793 ) / 7137

GCD(9, 793) = 7137 / 7137

GCD(9, 793) = 1

GCD of 522, 702, 819, 793 is 1

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1. What is the GCD of 522, 702, 819, 793?

GCD of 522, 702, 819, 793 is 1

2. Where do I get the detailed procedure to find GCD of 522, 702, 819, 793?

You can find a detailed procedure to find GCD of 522, 702, 819, 793 on our page.

3. How to find GCD of 522, 702, 819, 793 on a calculator?

You can find the GCD of 522, 702, 819, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.