GCD of 594, 940, 24, 286 Calculator

Given Input numbers are 594, 940, 24, 286

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 594, 940, 24, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 940, 24, 286 is 2.

Therefore, GCD of numbers 594, 940, 24, 286 is 2

Given Input Data is 594, 940, 24, 286

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 940 is 2 x 2 x 5 x 47

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 286 is 2 x 11 x 13

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, 940) = 279180

GCD(594, 940) = ( 594 x 940 ) / 279180

GCD(594, 940) = 558360 / 279180

GCD(594, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

GCD of 594, 940, 24, 286 is 2

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1. What is the GCD of 594, 940, 24, 286?

GCD of 594, 940, 24, 286 is 2

2. Where do I get the detailed procedure to find GCD of 594, 940, 24, 286?

You can find a detailed procedure to find GCD of 594, 940, 24, 286 on our page.

3. How to find GCD of 594, 940, 24, 286 on a calculator?

You can find the GCD of 594, 940, 24, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.