GCD of 309, 444, 391, 332 Calculator

Given Input numbers are 309, 444, 391, 332

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 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 309, 444, 391, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 444, 391, 332 is 1.

Therefore, GCD of numbers 309, 444, 391, 332 is 1

Given Input Data is 309, 444, 391, 332

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 391 is 17 x 23

Prime Factorization of 332 is 2 x 2 x 83

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, 444) = 45732

GCD(309, 444) = ( 309 x 444 ) / 45732

GCD(309, 444) = 137196 / 45732

GCD(309, 444) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 391

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

LCM(3, 391) = 1173

GCD(3, 391) = ( 3 x 391 ) / 1173

GCD(3, 391) = 1173 / 1173

GCD(3, 391) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 309, 444, 391, 332 is 1

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1. What is the GCD of 309, 444, 391, 332?

GCD of 309, 444, 391, 332 is 1

2. Where do I get the detailed procedure to find GCD of 309, 444, 391, 332?

You can find a detailed procedure to find GCD of 309, 444, 391, 332 on our page.

3. How to find GCD of 309, 444, 391, 332 on a calculator?

You can find the GCD of 309, 444, 391, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.