GCD of 297, 249, 873 Calculator

Given Input numbers are 297, 249, 873

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

Divisors of 297

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

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 297, 249, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 249, 873 is 3.

Therefore, GCD of numbers 297, 249, 873 is 3

Given Input Data is 297, 249, 873

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

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 873 is 3 x 3 x 97

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(297, 249) = 24651

GCD(297, 249) = ( 297 x 249 ) / 24651

GCD(297, 249) = 73953 / 24651

GCD(297, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 873

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

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

GCD(3, 873) = 2619 / 873

GCD(3, 873) = 3

GCD of 297, 249, 873 is 3

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1. What is the GCD of 297, 249, 873?

GCD of 297, 249, 873 is 3

2. Where do I get the detailed procedure to find GCD of 297, 249, 873?

You can find a detailed procedure to find GCD of 297, 249, 873 on our page.

3. How to find GCD of 297, 249, 873 on a calculator?

You can find the GCD of 297, 249, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.