GCD of 353, 997, 18, 278 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 353, 997, 18, 278 i.e. 1 largest integer that divides all the numbers equally.

GCD of 353, 997, 18, 278 is 1

GCD(353, 997, 18, 278) = 1

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

GCD of

GCD of numbers 353, 997, 18, 278 is 1

GCD(353, 997, 18, 278) = 1

GCD of 353,997,18,278 Calculator

GCDof 353,997,18,278 is 1

Given Input numbers are 353, 997, 18, 278

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

Divisors of 353

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

1, 353

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 353, 997, 18, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 997, 18, 278 is 1.

Therefore, GCD of numbers 353, 997, 18, 278 is 1

Finding GCD of 353, 997, 18, 278 using Prime Factorization

Given Input Data is 353, 997, 18, 278

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

Prime Factorization of 353 is 353

Prime Factorization of 997 is 997

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 278 is 2 x 139

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

Finding GCD of 353, 997, 18, 278 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(353, 997) = 351941

GCD(353, 997) = ( 353 x 997 ) / 351941

GCD(353, 997) = 351941 / 351941

GCD(353, 997) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 353, 997, 18, 278 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 353, 997, 18, 278

1. What is the GCD of 353, 997, 18, 278?

GCD of 353, 997, 18, 278 is 1


2. Where do I get the detailed procedure to find GCD of 353, 997, 18, 278?

You can find a detailed procedure to find GCD of 353, 997, 18, 278 on our page.


3. How to find GCD of 353, 997, 18, 278 on a calculator?

You can find the GCD of 353, 997, 18, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.