GCD of 809, 102, 99, 421 Calculator

Given Input numbers are 809, 102, 99, 421

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 809, 102, 99, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 102, 99, 421 is 1.

Therefore, GCD of numbers 809, 102, 99, 421 is 1

Given Input Data is 809, 102, 99, 421

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

Prime Factorization of 809 is 809

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 421 is 421

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(809, 102) = 82518

GCD(809, 102) = ( 809 x 102 ) / 82518

GCD(809, 102) = 82518 / 82518

GCD(809, 102) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 809, 102, 99, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 103, 74, 793
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• GCD of 196, 465, 45, 282

1. What is the GCD of 809, 102, 99, 421?

GCD of 809, 102, 99, 421 is 1

2. Where do I get the detailed procedure to find GCD of 809, 102, 99, 421?

You can find a detailed procedure to find GCD of 809, 102, 99, 421 on our page.

3. How to find GCD of 809, 102, 99, 421 on a calculator?

You can find the GCD of 809, 102, 99, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.