GCD of 297, 287, 198, 849 Calculator

Given Input numbers are 297, 287, 198, 849

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 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 297, 287, 198, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 287, 198, 849 is 1.

Therefore, GCD of numbers 297, 287, 198, 849 is 1

Given Input Data is 297, 287, 198, 849

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 287 is 7 x 41

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 849 is 3 x 283

The above numbers do not have any common prime factor. So GCD is 1

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, 287) = 85239

GCD(297, 287) = ( 297 x 287 ) / 85239

GCD(297, 287) = 85239 / 85239

GCD(297, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 297, 287, 198, 849 is 1

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1. What is the GCD of 297, 287, 198, 849?

GCD of 297, 287, 198, 849 is 1

2. Where do I get the detailed procedure to find GCD of 297, 287, 198, 849?

You can find a detailed procedure to find GCD of 297, 287, 198, 849 on our page.

3. How to find GCD of 297, 287, 198, 849 on a calculator?

You can find the GCD of 297, 287, 198, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.