GCD of 594, 908, 18, 736 Calculator

Given Input numbers are 594, 908, 18, 736

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 594, 908, 18, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 908, 18, 736 is 2.

Therefore, GCD of numbers 594, 908, 18, 736 is 2

Given Input Data is 594, 908, 18, 736

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(594, 908) = 269676

GCD(594, 908) = ( 594 x 908 ) / 269676

GCD(594, 908) = 539352 / 269676

GCD(594, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 594, 908, 18, 736 is 2

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1. What is the GCD of 594, 908, 18, 736?

GCD of 594, 908, 18, 736 is 2

2. Where do I get the detailed procedure to find GCD of 594, 908, 18, 736?

You can find a detailed procedure to find GCD of 594, 908, 18, 736 on our page.

3. How to find GCD of 594, 908, 18, 736 on a calculator?

You can find the GCD of 594, 908, 18, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.