GCD of 465, 903, 990 Calculator

Given Input numbers are 465, 903, 990

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 465, 903, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 903, 990 is 3.

Therefore, GCD of numbers 465, 903, 990 is 3

Given Input Data is 465, 903, 990

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(465, 903) = 139965

GCD(465, 903) = ( 465 x 903 ) / 139965

GCD(465, 903) = 419895 / 139965

GCD(465, 903) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 990

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

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

GCD(3, 990) = 2970 / 990

GCD(3, 990) = 3

GCD of 465, 903, 990 is 3

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1. What is the GCD of 465, 903, 990?

GCD of 465, 903, 990 is 3

2. Where do I get the detailed procedure to find GCD of 465, 903, 990?

You can find a detailed procedure to find GCD of 465, 903, 990 on our page.

3. How to find GCD of 465, 903, 990 on a calculator?

You can find the GCD of 465, 903, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.