GCD of 187, 492, 338 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 187, 492, 338 i.e. 1 largest integer that divides all the numbers equally.

GCD of 187, 492, 338 is 1

GCD(187, 492, 338) = 1

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

GCD of

GCD of numbers 187, 492, 338 is 1

GCD(187, 492, 338) = 1

GCD of 187,492,338 Calculator

GCDof 187,492,338 is 1

Given Input numbers are 187, 492, 338

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 187, 492, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 492, 338 is 1.

Therefore, GCD of numbers 187, 492, 338 is 1

Finding GCD of 187, 492, 338 using Prime Factorization

Given Input Data is 187, 492, 338

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 338 is 2 x 13 x 13

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

Finding GCD of 187, 492, 338 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(187, 492) = 92004

GCD(187, 492) = ( 187 x 492 ) / 92004

GCD(187, 492) = 92004 / 92004

GCD(187, 492) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 187, 492, 338 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 187, 492, 338

1. What is the GCD of 187, 492, 338?

GCD of 187, 492, 338 is 1


2. Where do I get the detailed procedure to find GCD of 187, 492, 338?

You can find a detailed procedure to find GCD of 187, 492, 338 on our page.


3. How to find GCD of 187, 492, 338 on a calculator?

You can find the GCD of 187, 492, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.