GCD of 228, 304, 770 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 228, 304, 770 i.e. 2 largest integer that divides all the numbers equally.

GCD of 228, 304, 770 is 2

GCD(228, 304, 770) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 228, 304, 770 is 2

GCD(228, 304, 770) = 2

GCD of 228,304,770 Calculator

GCDof 228,304,770 is 2

Given Input numbers are 228, 304, 770

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 228, 304, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 304, 770 is 2.

Therefore, GCD of numbers 228, 304, 770 is 2

Finding GCD of 228, 304, 770 using Prime Factorization

Given Input Data is 228, 304, 770

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 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 770 is 2 x 5 x 7 x 11

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 228, 304, 770 using LCM Formula

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, 304) = 912

GCD(228, 304) = ( 228 x 304 ) / 912

GCD(228, 304) = 69312 / 912

GCD(228, 304) = 76


Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 770

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

LCM(76, 770) = 29260

GCD(76, 770) = ( 76 x 770 ) / 29260

GCD(76, 770) = 58520 / 29260

GCD(76, 770) = 2

GCD of 228, 304, 770 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 228, 304, 770

1. What is the GCD of 228, 304, 770?

GCD of 228, 304, 770 is 2


2. Where do I get the detailed procedure to find GCD of 228, 304, 770?

You can find a detailed procedure to find GCD of 228, 304, 770 on our page.


3. How to find GCD of 228, 304, 770 on a calculator?

You can find the GCD of 228, 304, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.