GCD of 390, 299, 68, 309 Calculator

Given Input numbers are 390, 299, 68, 309

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 390, 299, 68, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 299, 68, 309 is 1.

Therefore, GCD of numbers 390, 299, 68, 309 is 1

Given Input Data is 390, 299, 68, 309

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 299 is 13 x 23

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 309 is 3 x 103

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(390, 299) = 8970

GCD(390, 299) = ( 390 x 299 ) / 8970

GCD(390, 299) = 116610 / 8970

GCD(390, 299) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 68

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

LCM(13, 68) = 884

GCD(13, 68) = ( 13 x 68 ) / 884

GCD(13, 68) = 884 / 884

GCD(13, 68) = 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 390, 299, 68, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 918, 59, 291
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• GCD of 685, 794, 48, 324
• GCD of 451, 299, 26, 206

1. What is the GCD of 390, 299, 68, 309?

GCD of 390, 299, 68, 309 is 1

2. Where do I get the detailed procedure to find GCD of 390, 299, 68, 309?

You can find a detailed procedure to find GCD of 390, 299, 68, 309 on our page.

3. How to find GCD of 390, 299, 68, 309 on a calculator?

You can find the GCD of 390, 299, 68, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.