GCD of 276, 789, 199, 324 Calculator

Given Input numbers are 276, 789, 199, 324

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 789

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

1, 3, 263, 789

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 276, 789, 199, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 789, 199, 324 is 1.

Therefore, GCD of numbers 276, 789, 199, 324 is 1

Given Input Data is 276, 789, 199, 324

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 789 is 3 x 263

Prime Factorization of 199 is 199

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(276, 789) = 72588

GCD(276, 789) = ( 276 x 789 ) / 72588

GCD(276, 789) = 217764 / 72588

GCD(276, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 199

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

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

GCD(3, 199) = 597 / 597

GCD(3, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 276, 789, 199, 324 is 1

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1. What is the GCD of 276, 789, 199, 324?

GCD of 276, 789, 199, 324 is 1

2. Where do I get the detailed procedure to find GCD of 276, 789, 199, 324?

You can find a detailed procedure to find GCD of 276, 789, 199, 324 on our page.

3. How to find GCD of 276, 789, 199, 324 on a calculator?

You can find the GCD of 276, 789, 199, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.