GCD of 936, 330, 18, 592 Calculator

Given Input numbers are 936, 330, 18, 592

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 936, 330, 18, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 330, 18, 592 is 2.

Therefore, GCD of numbers 936, 330, 18, 592 is 2

Given Input Data is 936, 330, 18, 592

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(936, 330) = 51480

GCD(936, 330) = ( 936 x 330 ) / 51480

GCD(936, 330) = 308880 / 51480

GCD(936, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 18

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

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

GCD(6, 18) = 108 / 18

GCD(6, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 592

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

LCM(6, 592) = 1776

GCD(6, 592) = ( 6 x 592 ) / 1776

GCD(6, 592) = 3552 / 1776

GCD(6, 592) = 2

GCD of 936, 330, 18, 592 is 2

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1. What is the GCD of 936, 330, 18, 592?

GCD of 936, 330, 18, 592 is 2

2. Where do I get the detailed procedure to find GCD of 936, 330, 18, 592?

You can find a detailed procedure to find GCD of 936, 330, 18, 592 on our page.

3. How to find GCD of 936, 330, 18, 592 on a calculator?

You can find the GCD of 936, 330, 18, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.