GCD of 228, 627, 288, 161 Calculator

Given Input numbers are 228, 627, 288, 161

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 228, 627, 288, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 627, 288, 161 is 1.

Therefore, GCD of numbers 228, 627, 288, 161 is 1

Given Input Data is 228, 627, 288, 161

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 627 is 3 x 11 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 161 is 7 x 23

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(228, 627) = 2508

GCD(228, 627) = ( 228 x 627 ) / 2508

GCD(228, 627) = 142956 / 2508

GCD(228, 627) = 57

Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 288

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

LCM(57, 288) = 5472

GCD(57, 288) = ( 57 x 288 ) / 5472

GCD(57, 288) = 16416 / 5472

GCD(57, 288) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 161

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

LCM(3, 161) = 483

GCD(3, 161) = ( 3 x 161 ) / 483

GCD(3, 161) = 483 / 483

GCD(3, 161) = 1

GCD of 228, 627, 288, 161 is 1

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1. What is the GCD of 228, 627, 288, 161?

GCD of 228, 627, 288, 161 is 1

2. Where do I get the detailed procedure to find GCD of 228, 627, 288, 161?

You can find a detailed procedure to find GCD of 228, 627, 288, 161 on our page.

3. How to find GCD of 228, 627, 288, 161 on a calculator?

You can find the GCD of 228, 627, 288, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.