GCD of 322, 782, 22, 470 Calculator

Given Input numbers are 322, 782, 22, 470

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 322, 782, 22, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 782, 22, 470 is 2.

Therefore, GCD of numbers 322, 782, 22, 470 is 2

Given Input Data is 322, 782, 22, 470

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 470 is 2 x 5 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(322, 782) = 5474

GCD(322, 782) = ( 322 x 782 ) / 5474

GCD(322, 782) = 251804 / 5474

GCD(322, 782) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 22

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

LCM(46, 22) = 506

GCD(46, 22) = ( 46 x 22 ) / 506

GCD(46, 22) = 1012 / 506

GCD(46, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 322, 782, 22, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 482, 23, 410
• GCD of 509, 379, 49, 733
• GCD of 720, 325, 88, 879
• GCD of 451, 490, 91, 214
• GCD of 273, 713, 19, 512

1. What is the GCD of 322, 782, 22, 470?

GCD of 322, 782, 22, 470 is 2

2. Where do I get the detailed procedure to find GCD of 322, 782, 22, 470?

You can find a detailed procedure to find GCD of 322, 782, 22, 470 on our page.

3. How to find GCD of 322, 782, 22, 470 on a calculator?

You can find the GCD of 322, 782, 22, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.