GCD of 316, 906, 12 Calculator

Given Input numbers are 316, 906, 12

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 12

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

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 316, 906, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 906, 12 is 2.

Therefore, GCD of numbers 316, 906, 12 is 2

Given Input Data is 316, 906, 12

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 12 is 2 x 2 x 3

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(316, 906) = 143148

GCD(316, 906) = ( 316 x 906 ) / 143148

GCD(316, 906) = 286296 / 143148

GCD(316, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

GCD of 316, 906, 12 is 2

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1. What is the GCD of 316, 906, 12?

GCD of 316, 906, 12 is 2

2. Where do I get the detailed procedure to find GCD of 316, 906, 12?

You can find a detailed procedure to find GCD of 316, 906, 12 on our page.

3. How to find GCD of 316, 906, 12 on a calculator?

You can find the GCD of 316, 906, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.