GCD of 38, 825, 129, 115 Calculator

Given Input numbers are 38, 825, 129, 115

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

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 38, 825, 129, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 825, 129, 115 is 1.

Therefore, GCD of numbers 38, 825, 129, 115 is 1

Given Input Data is 38, 825, 129, 115

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 129 is 3 x 43

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(38, 825) = 31350

GCD(38, 825) = ( 38 x 825 ) / 31350

GCD(38, 825) = 31350 / 31350

GCD(38, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 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 38, 825, 129, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 534, 475, 215
• GCD of 59, 196, 158, 430
• GCD of 10, 862, 111, 989
• GCD of 41, 692, 102, 531
• GCD of 57, 603, 174, 790

1. What is the GCD of 38, 825, 129, 115?

GCD of 38, 825, 129, 115 is 1

2. Where do I get the detailed procedure to find GCD of 38, 825, 129, 115?

You can find a detailed procedure to find GCD of 38, 825, 129, 115 on our page.

3. How to find GCD of 38, 825, 129, 115 on a calculator?

You can find the GCD of 38, 825, 129, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.