GCD of 312, 315, 18, 804 Calculator

Given Input numbers are 312, 315, 18, 804

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 312, 315, 18, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 315, 18, 804 is 3.

Therefore, GCD of numbers 312, 315, 18, 804 is 3

Given Input Data is 312, 315, 18, 804

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 804 is 2 x 2 x 3 x 67

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(312, 315) = 32760

GCD(312, 315) = ( 312 x 315 ) / 32760

GCD(312, 315) = 98280 / 32760

GCD(312, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 804

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

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

GCD(3, 804) = 2412 / 804

GCD(3, 804) = 3

GCD of 312, 315, 18, 804 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 110, 50, 197
• GCD of 933, 302, 31, 716
• GCD of 691, 696, 94, 432
• GCD of 399, 758, 16, 492
• GCD of 428, 317, 82, 808

1. What is the GCD of 312, 315, 18, 804?

GCD of 312, 315, 18, 804 is 3

2. Where do I get the detailed procedure to find GCD of 312, 315, 18, 804?

You can find a detailed procedure to find GCD of 312, 315, 18, 804 on our page.

3. How to find GCD of 312, 315, 18, 804 on a calculator?

You can find the GCD of 312, 315, 18, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.