GCD of 528, 225, 297 Calculator

Given Input numbers are 528, 225, 297

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 528, 225, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 225, 297 is 3.

Therefore, GCD of numbers 528, 225, 297 is 3

Given Input Data is 528, 225, 297

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 297 is 3 x 3 x 3 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(528, 225) = 39600

GCD(528, 225) = ( 528 x 225 ) / 39600

GCD(528, 225) = 118800 / 39600

GCD(528, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 297

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

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

GCD(3, 297) = 891 / 297

GCD(3, 297) = 3

GCD of 528, 225, 297 is 3

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1. What is the GCD of 528, 225, 297?

GCD of 528, 225, 297 is 3

2. Where do I get the detailed procedure to find GCD of 528, 225, 297?

You can find a detailed procedure to find GCD of 528, 225, 297 on our page.

3. How to find GCD of 528, 225, 297 on a calculator?

You can find the GCD of 528, 225, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.