GCD of 180, 796, 828, 789 Calculator

Given Input numbers are 180, 796, 828, 789

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 180, 796, 828, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 796, 828, 789 is 1.

Therefore, GCD of numbers 180, 796, 828, 789 is 1

Given Input Data is 180, 796, 828, 789

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(180, 796) = 35820

GCD(180, 796) = ( 180 x 796 ) / 35820

GCD(180, 796) = 143280 / 35820

GCD(180, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 828

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

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

GCD(4, 828) = 3312 / 828

GCD(4, 828) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 789

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

LCM(4, 789) = 3156

GCD(4, 789) = ( 4 x 789 ) / 3156

GCD(4, 789) = 3156 / 3156

GCD(4, 789) = 1

GCD of 180, 796, 828, 789 is 1

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1. What is the GCD of 180, 796, 828, 789?

GCD of 180, 796, 828, 789 is 1

2. Where do I get the detailed procedure to find GCD of 180, 796, 828, 789?

You can find a detailed procedure to find GCD of 180, 796, 828, 789 on our page.

3. How to find GCD of 180, 796, 828, 789 on a calculator?

You can find the GCD of 180, 796, 828, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.