GCD of 138, 389, 14, 279 Calculator

Given Input numbers are 138, 389, 14, 279

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 389

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

1, 389

Divisors of 14

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

1, 2, 7, 14

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 138, 389, 14, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 389, 14, 279 is 1.

Therefore, GCD of numbers 138, 389, 14, 279 is 1

Given Input Data is 138, 389, 14, 279

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 389 is 389

Prime Factorization of 14 is 2 x 7

Prime Factorization of 279 is 3 x 3 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(138, 389) = 53682

GCD(138, 389) = ( 138 x 389 ) / 53682

GCD(138, 389) = 53682 / 53682

GCD(138, 389) = 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 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 138, 389, 14, 279 is 1

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• GCD of 857, 623, 50, 419
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1. What is the GCD of 138, 389, 14, 279?

GCD of 138, 389, 14, 279 is 1

2. Where do I get the detailed procedure to find GCD of 138, 389, 14, 279?

You can find a detailed procedure to find GCD of 138, 389, 14, 279 on our page.

3. How to find GCD of 138, 389, 14, 279 on a calculator?

You can find the GCD of 138, 389, 14, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.