GCD of 320, 990, 174, 822 Calculator

Given Input numbers are 320, 990, 174, 822

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 320, 990, 174, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 990, 174, 822 is 2.

Therefore, GCD of numbers 320, 990, 174, 822 is 2

Given Input Data is 320, 990, 174, 822

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 822 is 2 x 3 x 137

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(320, 990) = 31680

GCD(320, 990) = ( 320 x 990 ) / 31680

GCD(320, 990) = 316800 / 31680

GCD(320, 990) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 174

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

LCM(10, 174) = 870

GCD(10, 174) = ( 10 x 174 ) / 870

GCD(10, 174) = 1740 / 870

GCD(10, 174) = 2

Step3:

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

GCD of 320, 990, 174, 822 is 2

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1. What is the GCD of 320, 990, 174, 822?

GCD of 320, 990, 174, 822 is 2

2. Where do I get the detailed procedure to find GCD of 320, 990, 174, 822?

You can find a detailed procedure to find GCD of 320, 990, 174, 822 on our page.

3. How to find GCD of 320, 990, 174, 822 on a calculator?

You can find the GCD of 320, 990, 174, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.