GCD of 309, 470, 14, 589 Calculator

Given Input numbers are 309, 470, 14, 589

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 309, 470, 14, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 470, 14, 589 is 1.

Therefore, GCD of numbers 309, 470, 14, 589 is 1

Given Input Data is 309, 470, 14, 589

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 14 is 2 x 7

Prime Factorization of 589 is 19 x 31

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, 470) = 145230

GCD(309, 470) = ( 309 x 470 ) / 145230

GCD(309, 470) = 145230 / 145230

GCD(309, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 309, 470, 14, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 786, 63, 413
• GCD of 284, 318, 22, 472
• GCD of 468, 669, 66, 623
• GCD of 510, 960, 17, 789
• GCD of 880, 808, 57, 544

1. What is the GCD of 309, 470, 14, 589?

GCD of 309, 470, 14, 589 is 1

2. Where do I get the detailed procedure to find GCD of 309, 470, 14, 589?

You can find a detailed procedure to find GCD of 309, 470, 14, 589 on our page.

3. How to find GCD of 309, 470, 14, 589 on a calculator?

You can find the GCD of 309, 470, 14, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.