GCD of 209, 387, 48, 810 Calculator

Given Input numbers are 209, 387, 48, 810

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 209, 387, 48, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 387, 48, 810 is 1.

Therefore, GCD of numbers 209, 387, 48, 810 is 1

Given Input Data is 209, 387, 48, 810

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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(209, 387) = 80883

GCD(209, 387) = ( 209 x 387 ) / 80883

GCD(209, 387) = 80883 / 80883

GCD(209, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

GCD of 209, 387, 48, 810 is 1

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1. What is the GCD of 209, 387, 48, 810?

GCD of 209, 387, 48, 810 is 1

2. Where do I get the detailed procedure to find GCD of 209, 387, 48, 810?

You can find a detailed procedure to find GCD of 209, 387, 48, 810 on our page.

3. How to find GCD of 209, 387, 48, 810 on a calculator?

You can find the GCD of 209, 387, 48, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.