GCD of 304, 855, 77, 353 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 304, 855, 77, 353 i.e. 1 largest integer that divides all the numbers equally.

GCD of 304, 855, 77, 353 is 1

GCD(304, 855, 77, 353) = 1

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

GCD of

GCD of numbers 304, 855, 77, 353 is 1

GCD(304, 855, 77, 353) = 1

GCD of 304,855,77,353 Calculator

GCDof 304,855,77,353 is 1

Given Input numbers are 304, 855, 77, 353

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

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 304, 855, 77, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 855, 77, 353 is 1.

Therefore, GCD of numbers 304, 855, 77, 353 is 1

Finding GCD of 304, 855, 77, 353 using Prime Factorization

Given Input Data is 304, 855, 77, 353

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 353 is 353

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

Finding GCD of 304, 855, 77, 353 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(304, 855) = 13680

GCD(304, 855) = ( 304 x 855 ) / 13680

GCD(304, 855) = 259920 / 13680

GCD(304, 855) = 19


Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 77

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

LCM(19, 77) = 1463

GCD(19, 77) = ( 19 x 77 ) / 1463

GCD(19, 77) = 1463 / 1463

GCD(19, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 304, 855, 77, 353 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 304, 855, 77, 353

1. What is the GCD of 304, 855, 77, 353?

GCD of 304, 855, 77, 353 is 1


2. Where do I get the detailed procedure to find GCD of 304, 855, 77, 353?

You can find a detailed procedure to find GCD of 304, 855, 77, 353 on our page.


3. How to find GCD of 304, 855, 77, 353 on a calculator?

You can find the GCD of 304, 855, 77, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.