GCD of 612, 622, 822, 522 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 612, 622, 822, 522 i.e. 2 largest integer that divides all the numbers equally.

GCD of 612, 622, 822, 522 is 2

GCD(612, 622, 822, 522) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 612, 622, 822, 522 is 2

GCD(612, 622, 822, 522) = 2

GCD of 612,622,822,522 Calculator

GCDof 612,622,822,522 is 2

Given Input numbers are 612, 622, 822, 522

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 822

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

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

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

Greatest Common Divisior

We found the divisors of 612, 622, 822, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 622, 822, 522 is 2.

Therefore, GCD of numbers 612, 622, 822, 522 is 2

Finding GCD of 612, 622, 822, 522 using Prime Factorization

Given Input Data is 612, 622, 822, 522

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 622 is 2 x 311

Prime Factorization of 822 is 2 x 3 x 137

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 612, 622, 822, 522 using LCM Formula

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(612, 622) = 190332

GCD(612, 622) = ( 612 x 622 ) / 190332

GCD(612, 622) = 380664 / 190332

GCD(612, 622) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

GCD of 612, 622, 822, 522 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 612, 622, 822, 522

1. What is the GCD of 612, 622, 822, 522?

GCD of 612, 622, 822, 522 is 2


2. Where do I get the detailed procedure to find GCD of 612, 622, 822, 522?

You can find a detailed procedure to find GCD of 612, 622, 822, 522 on our page.


3. How to find GCD of 612, 622, 822, 522 on a calculator?

You can find the GCD of 612, 622, 822, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.