GCD of 168, 488, 12, 286 Calculator

Given Input numbers are 168, 488, 12, 286

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 168, 488, 12, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 488, 12, 286 is 2.

Therefore, GCD of numbers 168, 488, 12, 286 is 2

Given Input Data is 168, 488, 12, 286

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 12 is 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(168, 488) = 10248

GCD(168, 488) = ( 168 x 488 ) / 10248

GCD(168, 488) = 81984 / 10248

GCD(168, 488) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 12

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

LCM(8, 12) = 24

GCD(8, 12) = ( 8 x 12 ) / 24

GCD(8, 12) = 96 / 24

GCD(8, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 286

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

LCM(4, 286) = 572

GCD(4, 286) = ( 4 x 286 ) / 572

GCD(4, 286) = 1144 / 572

GCD(4, 286) = 2

GCD of 168, 488, 12, 286 is 2

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1. What is the GCD of 168, 488, 12, 286?

GCD of 168, 488, 12, 286 is 2

2. Where do I get the detailed procedure to find GCD of 168, 488, 12, 286?

You can find a detailed procedure to find GCD of 168, 488, 12, 286 on our page.

3. How to find GCD of 168, 488, 12, 286 on a calculator?

You can find the GCD of 168, 488, 12, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.