GCD of 228, 272, 27, 748 Calculator

Given Input numbers are 228, 272, 27, 748

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 228, 272, 27, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 272, 27, 748 is 1.

Therefore, GCD of numbers 228, 272, 27, 748 is 1

Given Input Data is 228, 272, 27, 748

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 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 272) = 15504

GCD(228, 272) = ( 228 x 272 ) / 15504

GCD(228, 272) = 62016 / 15504

GCD(228, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 27

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

LCM(4, 27) = 108

GCD(4, 27) = ( 4 x 27 ) / 108

GCD(4, 27) = 108 / 108

GCD(4, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 228, 272, 27, 748 is 1

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1. What is the GCD of 228, 272, 27, 748?

GCD of 228, 272, 27, 748 is 1

2. Where do I get the detailed procedure to find GCD of 228, 272, 27, 748?

You can find a detailed procedure to find GCD of 228, 272, 27, 748 on our page.

3. How to find GCD of 228, 272, 27, 748 on a calculator?

You can find the GCD of 228, 272, 27, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.