GCD of 39, 194, 106, 129 Calculator

Given Input numbers are 39, 194, 106, 129

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 129

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

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 39, 194, 106, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 194, 106, 129 is 1.

Therefore, GCD of numbers 39, 194, 106, 129 is 1

Given Input Data is 39, 194, 106, 129

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 194 is 2 x 97

Prime Factorization of 106 is 2 x 53

Prime Factorization of 129 is 3 x 43

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(39, 194) = 7566

GCD(39, 194) = ( 39 x 194 ) / 7566

GCD(39, 194) = 7566 / 7566

GCD(39, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

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

GCD of 39, 194, 106, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 632, 646, 446
• GCD of 61, 674, 846, 986
• GCD of 54, 412, 949, 901
• GCD of 76, 129, 920, 342
• GCD of 58, 959, 657, 542

1. What is the GCD of 39, 194, 106, 129?

GCD of 39, 194, 106, 129 is 1

2. Where do I get the detailed procedure to find GCD of 39, 194, 106, 129?

You can find a detailed procedure to find GCD of 39, 194, 106, 129 on our page.

3. How to find GCD of 39, 194, 106, 129 on a calculator?

You can find the GCD of 39, 194, 106, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.