GCD of 338, 999, 76, 115 Calculator

Given Input numbers are 338, 999, 76, 115

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 338, 999, 76, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 999, 76, 115 is 1.

Therefore, GCD of numbers 338, 999, 76, 115 is 1

Given Input Data is 338, 999, 76, 115

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 115 is 5 x 23

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(338, 999) = 337662

GCD(338, 999) = ( 338 x 999 ) / 337662

GCD(338, 999) = 337662 / 337662

GCD(338, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 338, 999, 76, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 988, 61, 102
• GCD of 666, 168, 12, 864
• GCD of 640, 258, 69, 761
• GCD of 305, 611, 27, 853
• GCD of 387, 841, 43, 133

1. What is the GCD of 338, 999, 76, 115?

GCD of 338, 999, 76, 115 is 1

2. Where do I get the detailed procedure to find GCD of 338, 999, 76, 115?

You can find a detailed procedure to find GCD of 338, 999, 76, 115 on our page.

3. How to find GCD of 338, 999, 76, 115 on a calculator?

You can find the GCD of 338, 999, 76, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.