GCD of 27, 994, 340, 660 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 27, 994, 340, 660 i.e. 1 largest integer that divides all the numbers equally.

GCD of 27, 994, 340, 660 is 1

GCD(27, 994, 340, 660) = 1

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

GCD of

GCD of numbers 27, 994, 340, 660 is 1

GCD(27, 994, 340, 660) = 1

GCD of 27,994,340,660 Calculator

GCDof 27,994,340,660 is 1

Given Input numbers are 27, 994, 340, 660

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

Divisors of 27

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

1, 3, 9, 27

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 27, 994, 340, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 994, 340, 660 is 1.

Therefore, GCD of numbers 27, 994, 340, 660 is 1

Finding GCD of 27, 994, 340, 660 using Prime Factorization

Given Input Data is 27, 994, 340, 660

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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

Finding GCD of 27, 994, 340, 660 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(27, 994) = 26838

GCD(27, 994) = ( 27 x 994 ) / 26838

GCD(27, 994) = 26838 / 26838

GCD(27, 994) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 27, 994, 340, 660 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 27, 994, 340, 660

1. What is the GCD of 27, 994, 340, 660?

GCD of 27, 994, 340, 660 is 1


2. Where do I get the detailed procedure to find GCD of 27, 994, 340, 660?

You can find a detailed procedure to find GCD of 27, 994, 340, 660 on our page.


3. How to find GCD of 27, 994, 340, 660 on a calculator?

You can find the GCD of 27, 994, 340, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.