GCD of 495, 228, 412 Calculator

Given Input numbers are 495, 228, 412

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 495, 228, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 228, 412 is 1.

Therefore, GCD of numbers 495, 228, 412 is 1

Given Input Data is 495, 228, 412

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Prime Factorization of 412 is 2 x 2 x 103

The above numbers do not have any common prime factor. So GCD is 1

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(495, 228) = 37620

GCD(495, 228) = ( 495 x 228 ) / 37620

GCD(495, 228) = 112860 / 37620

GCD(495, 228) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 412

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

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

GCD(3, 412) = 1236 / 1236

GCD(3, 412) = 1

GCD of 495, 228, 412 is 1

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1. What is the GCD of 495, 228, 412?

GCD of 495, 228, 412 is 1

2. Where do I get the detailed procedure to find GCD of 495, 228, 412?

You can find a detailed procedure to find GCD of 495, 228, 412 on our page.

3. How to find GCD of 495, 228, 412 on a calculator?

You can find the GCD of 495, 228, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.