GCD of 309, 312, 287 Calculator

Given Input numbers are 309, 312, 287

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

Divisors of 309

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

1, 3, 103, 309

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 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 309, 312, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 312, 287 is 1.

Therefore, GCD of numbers 309, 312, 287 is 1

Given Input Data is 309, 312, 287

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

Prime Factorization of 309 is 3 x 103

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

Prime Factorization of 287 is 7 x 41

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

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(309, 312) = 32136

GCD(309, 312) = ( 309 x 312 ) / 32136

GCD(309, 312) = 96408 / 32136

GCD(309, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 287

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

LCM(3, 287) = 861

GCD(3, 287) = ( 3 x 287 ) / 861

GCD(3, 287) = 861 / 861

GCD(3, 287) = 1

GCD of 309, 312, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 847, 110
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1. What is the GCD of 309, 312, 287?

GCD of 309, 312, 287 is 1

2. Where do I get the detailed procedure to find GCD of 309, 312, 287?

You can find a detailed procedure to find GCD of 309, 312, 287 on our page.

3. How to find GCD of 309, 312, 287 on a calculator?

You can find the GCD of 309, 312, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.