GCD of 154, 320, 27 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 154, 320, 27 i.e. 1 largest integer that divides all the numbers equally.

GCD of 154, 320, 27 is 1

GCD(154, 320, 27) = 1

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

GCD of

GCD of numbers 154, 320, 27 is 1

GCD(154, 320, 27) = 1

GCD of 154,320,27 Calculator

GCDof 154,320,27 is 1

Given Input numbers are 154, 320, 27

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 154, 320, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 320, 27 is 1.

Therefore, GCD of numbers 154, 320, 27 is 1

Finding GCD of 154, 320, 27 using Prime Factorization

Given Input Data is 154, 320, 27

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 27 is 3 x 3 x 3

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

Finding GCD of 154, 320, 27 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(154, 320) = 24640

GCD(154, 320) = ( 154 x 320 ) / 24640

GCD(154, 320) = 49280 / 24640

GCD(154, 320) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

GCD of 154, 320, 27 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 154, 320, 27

1. What is the GCD of 154, 320, 27?

GCD of 154, 320, 27 is 1


2. Where do I get the detailed procedure to find GCD of 154, 320, 27?

You can find a detailed procedure to find GCD of 154, 320, 27 on our page.


3. How to find GCD of 154, 320, 27 on a calculator?

You can find the GCD of 154, 320, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.