GCD of 14, 705, 389, 393 Calculator

Given Input numbers are 14, 705, 389, 393

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 14, 705, 389, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 705, 389, 393 is 1.

Therefore, GCD of numbers 14, 705, 389, 393 is 1

Given Input Data is 14, 705, 389, 393

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 389 is 389

Prime Factorization of 393 is 3 x 131

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(14, 705) = 9870

GCD(14, 705) = ( 14 x 705 ) / 9870

GCD(14, 705) = 9870 / 9870

GCD(14, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 14, 705, 389, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 253, 529, 119
• GCD of 31, 727, 506, 289
• GCD of 73, 701, 565, 759
• GCD of 45, 777, 447, 255
• GCD of 71, 799, 683, 365

1. What is the GCD of 14, 705, 389, 393?

GCD of 14, 705, 389, 393 is 1

2. Where do I get the detailed procedure to find GCD of 14, 705, 389, 393?

You can find a detailed procedure to find GCD of 14, 705, 389, 393 on our page.

3. How to find GCD of 14, 705, 389, 393 on a calculator?

You can find the GCD of 14, 705, 389, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.