GCD of 464, 300, 27, 810 Calculator

Given Input numbers are 464, 300, 27, 810

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 464, 300, 27, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 300, 27, 810 is 1.

Therefore, GCD of numbers 464, 300, 27, 810 is 1

Given Input Data is 464, 300, 27, 810

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

Prime Factorization of 27 is 3 x 3 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(464, 300) = 34800

GCD(464, 300) = ( 464 x 300 ) / 34800

GCD(464, 300) = 139200 / 34800

GCD(464, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 27

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

LCM(4, 27) = 108

GCD(4, 27) = ( 4 x 27 ) / 108

GCD(4, 27) = 108 / 108

GCD(4, 27) = 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 464, 300, 27, 810 is 1

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1. What is the GCD of 464, 300, 27, 810?

GCD of 464, 300, 27, 810 is 1

2. Where do I get the detailed procedure to find GCD of 464, 300, 27, 810?

You can find a detailed procedure to find GCD of 464, 300, 27, 810 on our page.

3. How to find GCD of 464, 300, 27, 810 on a calculator?

You can find the GCD of 464, 300, 27, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.