GCD of 144, 885, 379, 270 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, 885, 379, 270 i.e. 1 largest integer that divides all the numbers equally.

GCD of 144, 885, 379, 270 is 1

GCD(144, 885, 379, 270) = 1

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

GCD of

GCD of numbers 144, 885, 379, 270 is 1

GCD(144, 885, 379, 270) = 1

GCD of 144,885,379,270 Calculator

GCDof 144,885,379,270 is 1

Given Input numbers are 144, 885, 379, 270

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 144, 885, 379, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 885, 379, 270 is 1.

Therefore, GCD of numbers 144, 885, 379, 270 is 1

Finding GCD of 144, 885, 379, 270 using Prime Factorization

Given Input Data is 144, 885, 379, 270

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 885 is 3 x 5 x 59

Prime Factorization of 379 is 379

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

Finding GCD of 144, 885, 379, 270 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, 885) = 42480

GCD(144, 885) = ( 144 x 885 ) / 42480

GCD(144, 885) = 127440 / 42480

GCD(144, 885) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 379

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

LCM(3, 379) = 1137

GCD(3, 379) = ( 3 x 379 ) / 1137

GCD(3, 379) = 1137 / 1137

GCD(3, 379) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 144, 885, 379, 270 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 144, 885, 379, 270

1. What is the GCD of 144, 885, 379, 270?

GCD of 144, 885, 379, 270 is 1


2. Where do I get the detailed procedure to find GCD of 144, 885, 379, 270?

You can find a detailed procedure to find GCD of 144, 885, 379, 270 on our page.


3. How to find GCD of 144, 885, 379, 270 on a calculator?

You can find the GCD of 144, 885, 379, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.