GCD of 927, 561, 96, 225 Calculator

Given Input numbers are 927, 561, 96, 225

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

Greatest Common Divisior

We found the divisors of 927, 561, 96, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 561, 96, 225 is 3.

Therefore, GCD of numbers 927, 561, 96, 225 is 3

Given Input Data is 927, 561, 96, 225

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

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(927, 561) = 173349

GCD(927, 561) = ( 927 x 561 ) / 173349

GCD(927, 561) = 520047 / 173349

GCD(927, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 225

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

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

GCD(3, 225) = 675 / 225

GCD(3, 225) = 3

GCD of 927, 561, 96, 225 is 3

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1. What is the GCD of 927, 561, 96, 225?

GCD of 927, 561, 96, 225 is 3

2. Where do I get the detailed procedure to find GCD of 927, 561, 96, 225?

You can find a detailed procedure to find GCD of 927, 561, 96, 225 on our page.

3. How to find GCD of 927, 561, 96, 225 on a calculator?

You can find the GCD of 927, 561, 96, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.