GCD of 225, 918, 99, 663 Calculator

Given Input numbers are 225, 918, 99, 663

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 225, 918, 99, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 918, 99, 663 is 3.

Therefore, GCD of numbers 225, 918, 99, 663 is 3

Given Input Data is 225, 918, 99, 663

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 663 is 3 x 13 x 17

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(225, 918) = 22950

GCD(225, 918) = ( 225 x 918 ) / 22950

GCD(225, 918) = 206550 / 22950

GCD(225, 918) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 99

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

LCM(9, 99) = 99

GCD(9, 99) = ( 9 x 99 ) / 99

GCD(9, 99) = 891 / 99

GCD(9, 99) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 663

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

LCM(9, 663) = 1989

GCD(9, 663) = ( 9 x 663 ) / 1989

GCD(9, 663) = 5967 / 1989

GCD(9, 663) = 3

GCD of 225, 918, 99, 663 is 3

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1. What is the GCD of 225, 918, 99, 663?

GCD of 225, 918, 99, 663 is 3

2. Where do I get the detailed procedure to find GCD of 225, 918, 99, 663?

You can find a detailed procedure to find GCD of 225, 918, 99, 663 on our page.

3. How to find GCD of 225, 918, 99, 663 on a calculator?

You can find the GCD of 225, 918, 99, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.