GCD of 473, 528, 297 Calculator

Given Input numbers are 473, 528, 297

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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 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 473, 528, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 528, 297 is 11.

Therefore, GCD of numbers 473, 528, 297 is 11

Given Input Data is 473, 528, 297

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

Prime Factorization of 473 is 11 x 43

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(473, 528) = 22704

GCD(473, 528) = ( 473 x 528 ) / 22704

GCD(473, 528) = 249744 / 22704

GCD(473, 528) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 297

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

LCM(11, 297) = 297

GCD(11, 297) = ( 11 x 297 ) / 297

GCD(11, 297) = 3267 / 297

GCD(11, 297) = 11

GCD of 473, 528, 297 is 11

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1. What is the GCD of 473, 528, 297?

GCD of 473, 528, 297 is 11

2. Where do I get the detailed procedure to find GCD of 473, 528, 297?

You can find a detailed procedure to find GCD of 473, 528, 297 on our page.

3. How to find GCD of 473, 528, 297 on a calculator?

You can find the GCD of 473, 528, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.