GCD of 21, 203, 300, 810 Calculator

Given Input numbers are 21, 203, 300, 810

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 21, 203, 300, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 203, 300, 810 is 1.

Therefore, GCD of numbers 21, 203, 300, 810 is 1

Given Input Data is 21, 203, 300, 810

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 203 is 7 x 29

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(21, 203) = 609

GCD(21, 203) = ( 21 x 203 ) / 609

GCD(21, 203) = 4263 / 609

GCD(21, 203) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 300

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

LCM(7, 300) = 2100

GCD(7, 300) = ( 7 x 300 ) / 2100

GCD(7, 300) = 2100 / 2100

GCD(7, 300) = 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 21, 203, 300, 810 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 831, 753, 919
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• GCD of 96, 505, 616, 594
• GCD of 36, 866, 672, 184
• GCD of 12, 908, 482, 846

1. What is the GCD of 21, 203, 300, 810?

GCD of 21, 203, 300, 810 is 1

2. Where do I get the detailed procedure to find GCD of 21, 203, 300, 810?

You can find a detailed procedure to find GCD of 21, 203, 300, 810 on our page.

3. How to find GCD of 21, 203, 300, 810 on a calculator?

You can find the GCD of 21, 203, 300, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.