GCD of 355, 119, 255 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 355, 119, 255 i.e. 1 largest integer that divides all the numbers equally.

GCD of 355, 119, 255 is 1

GCD(355, 119, 255) = 1

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

GCD of

GCD of numbers 355, 119, 255 is 1

GCD(355, 119, 255) = 1

GCD of 355,119,255 Calculator

GCDof 355,119,255 is 1

Given Input numbers are 355, 119, 255

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 355, 119, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 119, 255 is 1.

Therefore, GCD of numbers 355, 119, 255 is 1

Finding GCD of 355, 119, 255 using Prime Factorization

Given Input Data is 355, 119, 255

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 119 is 7 x 17

Prime Factorization of 255 is 3 x 5 x 17

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

Finding GCD of 355, 119, 255 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(355, 119) = 42245

GCD(355, 119) = ( 355 x 119 ) / 42245

GCD(355, 119) = 42245 / 42245

GCD(355, 119) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 355, 119, 255 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 355, 119, 255

1. What is the GCD of 355, 119, 255?

GCD of 355, 119, 255 is 1


2. Where do I get the detailed procedure to find GCD of 355, 119, 255?

You can find a detailed procedure to find GCD of 355, 119, 255 on our page.


3. How to find GCD of 355, 119, 255 on a calculator?

You can find the GCD of 355, 119, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.