GCD of 170, 990, 44, 326 Calculator

Given Input numbers are 170, 990, 44, 326

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

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 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 170, 990, 44, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 990, 44, 326 is 2.

Therefore, GCD of numbers 170, 990, 44, 326 is 2

Given Input Data is 170, 990, 44, 326

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

Prime Factorization of 170 is 2 x 5 x 17

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 326 is 2 x 163

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(170, 990) = 16830

GCD(170, 990) = ( 170 x 990 ) / 16830

GCD(170, 990) = 168300 / 16830

GCD(170, 990) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 44

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

LCM(10, 44) = 220

GCD(10, 44) = ( 10 x 44 ) / 220

GCD(10, 44) = 440 / 220

GCD(10, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

GCD of 170, 990, 44, 326 is 2

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1. What is the GCD of 170, 990, 44, 326?

GCD of 170, 990, 44, 326 is 2

2. Where do I get the detailed procedure to find GCD of 170, 990, 44, 326?

You can find a detailed procedure to find GCD of 170, 990, 44, 326 on our page.

3. How to find GCD of 170, 990, 44, 326 on a calculator?

You can find the GCD of 170, 990, 44, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.