GCD of 873, 369, 585 Calculator

Given Input numbers are 873, 369, 585

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 873, 369, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 369, 585 is 9.

Therefore, GCD of numbers 873, 369, 585 is 9

Given Input Data is 873, 369, 585

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 585 is 3 x 3 x 5 x 13

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(873, 369) = 35793

GCD(873, 369) = ( 873 x 369 ) / 35793

GCD(873, 369) = 322137 / 35793

GCD(873, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 585

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

LCM(9, 585) = 585

GCD(9, 585) = ( 9 x 585 ) / 585

GCD(9, 585) = 5265 / 585

GCD(9, 585) = 9

GCD of 873, 369, 585 is 9

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1. What is the GCD of 873, 369, 585?

GCD of 873, 369, 585 is 9

2. Where do I get the detailed procedure to find GCD of 873, 369, 585?

You can find a detailed procedure to find GCD of 873, 369, 585 on our page.

3. How to find GCD of 873, 369, 585 on a calculator?

You can find the GCD of 873, 369, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.