GCD of 330, 810, 160, 394 Calculator

Given Input numbers are 330, 810, 160, 394

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 330, 810, 160, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 810, 160, 394 is 2.

Therefore, GCD of numbers 330, 810, 160, 394 is 2

Given Input Data is 330, 810, 160, 394

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 394 is 2 x 197

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(330, 810) = 8910

GCD(330, 810) = ( 330 x 810 ) / 8910

GCD(330, 810) = 267300 / 8910

GCD(330, 810) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 160

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

LCM(30, 160) = 480

GCD(30, 160) = ( 30 x 160 ) / 480

GCD(30, 160) = 4800 / 480

GCD(30, 160) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 394

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

LCM(10, 394) = 1970

GCD(10, 394) = ( 10 x 394 ) / 1970

GCD(10, 394) = 3940 / 1970

GCD(10, 394) = 2

GCD of 330, 810, 160, 394 is 2

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1. What is the GCD of 330, 810, 160, 394?

GCD of 330, 810, 160, 394 is 2

2. Where do I get the detailed procedure to find GCD of 330, 810, 160, 394?

You can find a detailed procedure to find GCD of 330, 810, 160, 394 on our page.

3. How to find GCD of 330, 810, 160, 394 on a calculator?

You can find the GCD of 330, 810, 160, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.