GCD of 144, 187, 273, 938 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 144, 187, 273, 938 i.e. 1 largest integer that divides all the numbers equally.

GCD of 144, 187, 273, 938 is 1

GCD(144, 187, 273, 938) = 1

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

GCD of

GCD of numbers 144, 187, 273, 938 is 1

GCD(144, 187, 273, 938) = 1

GCD of 144,187,273,938 Calculator

GCDof 144,187,273,938 is 1

Given Input numbers are 144, 187, 273, 938

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 187

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

1, 11, 17, 187

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 144, 187, 273, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 187, 273, 938 is 1.

Therefore, GCD of numbers 144, 187, 273, 938 is 1

Finding GCD of 144, 187, 273, 938 using Prime Factorization

Given Input Data is 144, 187, 273, 938

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 187 is 11 x 17

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 938 is 2 x 7 x 67

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

Finding GCD of 144, 187, 273, 938 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(144, 187) = 26928

GCD(144, 187) = ( 144 x 187 ) / 26928

GCD(144, 187) = 26928 / 26928

GCD(144, 187) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 144, 187, 273, 938 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 144, 187, 273, 938

1. What is the GCD of 144, 187, 273, 938?

GCD of 144, 187, 273, 938 is 1


2. Where do I get the detailed procedure to find GCD of 144, 187, 273, 938?

You can find a detailed procedure to find GCD of 144, 187, 273, 938 on our page.


3. How to find GCD of 144, 187, 273, 938 on a calculator?

You can find the GCD of 144, 187, 273, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.