GCD of 918, 466, 44, 809 Calculator

Given Input numbers are 918, 466, 44, 809

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 809

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

1, 809

Greatest Common Divisior

We found the divisors of 918, 466, 44, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 466, 44, 809 is 1.

Therefore, GCD of numbers 918, 466, 44, 809 is 1

Given Input Data is 918, 466, 44, 809

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 466 is 2 x 233

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 809 is 809

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(918, 466) = 213894

GCD(918, 466) = ( 918 x 466 ) / 213894

GCD(918, 466) = 427788 / 213894

GCD(918, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 809

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

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

GCD(2, 809) = 1618 / 1618

GCD(2, 809) = 1

GCD of 918, 466, 44, 809 is 1

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1. What is the GCD of 918, 466, 44, 809?

GCD of 918, 466, 44, 809 is 1

2. Where do I get the detailed procedure to find GCD of 918, 466, 44, 809?

You can find a detailed procedure to find GCD of 918, 466, 44, 809 on our page.

3. How to find GCD of 918, 466, 44, 809 on a calculator?

You can find the GCD of 918, 466, 44, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.