GCD of 312, 335, 11, 309 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 312, 335, 11, 309 i.e. 1 largest integer that divides all the numbers equally.

GCD of 312, 335, 11, 309 is 1

GCD(312, 335, 11, 309) = 1

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

GCD of

GCD of numbers 312, 335, 11, 309 is 1

GCD(312, 335, 11, 309) = 1

GCD of 312,335,11,309 Calculator

GCDof 312,335,11,309 is 1

Given Input numbers are 312, 335, 11, 309

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 312, 335, 11, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 335, 11, 309 is 1.

Therefore, GCD of numbers 312, 335, 11, 309 is 1

Finding GCD of 312, 335, 11, 309 using Prime Factorization

Given Input Data is 312, 335, 11, 309

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 335 is 5 x 67

Prime Factorization of 11 is 11

Prime Factorization of 309 is 3 x 103

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

Finding GCD of 312, 335, 11, 309 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(312, 335) = 104520

GCD(312, 335) = ( 312 x 335 ) / 104520

GCD(312, 335) = 104520 / 104520

GCD(312, 335) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 312, 335, 11, 309 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 312, 335, 11, 309

1. What is the GCD of 312, 335, 11, 309?

GCD of 312, 335, 11, 309 is 1


2. Where do I get the detailed procedure to find GCD of 312, 335, 11, 309?

You can find a detailed procedure to find GCD of 312, 335, 11, 309 on our page.


3. How to find GCD of 312, 335, 11, 309 on a calculator?

You can find the GCD of 312, 335, 11, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.