GCD of 126, 106, 52, 789 Calculator

Given Input numbers are 126, 106, 52, 789

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 106

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

1, 2, 53, 106

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 126, 106, 52, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 106, 52, 789 is 1.

Therefore, GCD of numbers 126, 106, 52, 789 is 1

Given Input Data is 126, 106, 52, 789

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 106 is 2 x 53

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 789 is 3 x 263

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(126, 106) = 6678

GCD(126, 106) = ( 126 x 106 ) / 6678

GCD(126, 106) = 13356 / 6678

GCD(126, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 126, 106, 52, 789 is 1

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1. What is the GCD of 126, 106, 52, 789?

GCD of 126, 106, 52, 789 is 1

2. Where do I get the detailed procedure to find GCD of 126, 106, 52, 789?

You can find a detailed procedure to find GCD of 126, 106, 52, 789 on our page.

3. How to find GCD of 126, 106, 52, 789 on a calculator?

You can find the GCD of 126, 106, 52, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.