GCD of 228, 447, 315 Calculator

Given Input numbers are 228, 447, 315

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

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

Greatest Common Divisior

We found the divisors of 228, 447, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 447, 315 is 3.

Therefore, GCD of numbers 228, 447, 315 is 3

Given Input Data is 228, 447, 315

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 447 is 3 x 149

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

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(228, 447) = 33972

GCD(228, 447) = ( 228 x 447 ) / 33972

GCD(228, 447) = 101916 / 33972

GCD(228, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 315

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

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

GCD(3, 315) = 945 / 315

GCD(3, 315) = 3

GCD of 228, 447, 315 is 3

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1. What is the GCD of 228, 447, 315?

GCD of 228, 447, 315 is 3

2. Where do I get the detailed procedure to find GCD of 228, 447, 315?

You can find a detailed procedure to find GCD of 228, 447, 315 on our page.

3. How to find GCD of 228, 447, 315 on a calculator?

You can find the GCD of 228, 447, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.