GCD of 270, 808, 489, 421 Calculator

Given Input numbers are 270, 808, 489, 421

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 270, 808, 489, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 808, 489, 421 is 1.

Therefore, GCD of numbers 270, 808, 489, 421 is 1

Given Input Data is 270, 808, 489, 421

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 489 is 3 x 163

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(270, 808) = 109080

GCD(270, 808) = ( 270 x 808 ) / 109080

GCD(270, 808) = 218160 / 109080

GCD(270, 808) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 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 270, 808, 489, 421 is 1

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1. What is the GCD of 270, 808, 489, 421?

GCD of 270, 808, 489, 421 is 1

2. Where do I get the detailed procedure to find GCD of 270, 808, 489, 421?

You can find a detailed procedure to find GCD of 270, 808, 489, 421 on our page.

3. How to find GCD of 270, 808, 489, 421 on a calculator?

You can find the GCD of 270, 808, 489, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.