GCD of 318, 630, 12, 902 Calculator

Given Input numbers are 318, 630, 12, 902

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 318, 630, 12, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 630, 12, 902 is 2.

Therefore, GCD of numbers 318, 630, 12, 902 is 2

Given Input Data is 318, 630, 12, 902

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 902 is 2 x 11 x 41

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(318, 630) = 33390

GCD(318, 630) = ( 318 x 630 ) / 33390

GCD(318, 630) = 200340 / 33390

GCD(318, 630) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 12

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

LCM(6, 12) = 12

GCD(6, 12) = ( 6 x 12 ) / 12

GCD(6, 12) = 72 / 12

GCD(6, 12) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 902

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

LCM(6, 902) = 2706

GCD(6, 902) = ( 6 x 902 ) / 2706

GCD(6, 902) = 5412 / 2706

GCD(6, 902) = 2

GCD of 318, 630, 12, 902 is 2

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1. What is the GCD of 318, 630, 12, 902?

GCD of 318, 630, 12, 902 is 2

2. Where do I get the detailed procedure to find GCD of 318, 630, 12, 902?

You can find a detailed procedure to find GCD of 318, 630, 12, 902 on our page.

3. How to find GCD of 318, 630, 12, 902 on a calculator?

You can find the GCD of 318, 630, 12, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.