GCD of 228, 224, 308, 265 Calculator

Given Input numbers are 228, 224, 308, 265

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 228, 224, 308, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 224, 308, 265 is 1.

Therefore, GCD of numbers 228, 224, 308, 265 is 1

Given Input Data is 228, 224, 308, 265

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 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 265 is 5 x 53

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, 224) = 12768

GCD(228, 224) = ( 228 x 224 ) / 12768

GCD(228, 224) = 51072 / 12768

GCD(228, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 308

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

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

GCD(4, 308) = 1232 / 308

GCD(4, 308) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 265

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

LCM(4, 265) = 1060

GCD(4, 265) = ( 4 x 265 ) / 1060

GCD(4, 265) = 1060 / 1060

GCD(4, 265) = 1

GCD of 228, 224, 308, 265 is 1

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1. What is the GCD of 228, 224, 308, 265?

GCD of 228, 224, 308, 265 is 1

2. Where do I get the detailed procedure to find GCD of 228, 224, 308, 265?

You can find a detailed procedure to find GCD of 228, 224, 308, 265 on our page.

3. How to find GCD of 228, 224, 308, 265 on a calculator?

You can find the GCD of 228, 224, 308, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.