GCD of 849, 297, 855 Calculator

Given Input numbers are 849, 297, 855

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

Divisors of 849

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

1, 3, 283, 849

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 849, 297, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 297, 855 is 3.

Therefore, GCD of numbers 849, 297, 855 is 3

Given Input Data is 849, 297, 855

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

Prime Factorization of 849 is 3 x 283

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(849, 297) = 84051

GCD(849, 297) = ( 849 x 297 ) / 84051

GCD(849, 297) = 252153 / 84051

GCD(849, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 855

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

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

GCD(3, 855) = 2565 / 855

GCD(3, 855) = 3

GCD of 849, 297, 855 is 3

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1. What is the GCD of 849, 297, 855?

GCD of 849, 297, 855 is 3

2. Where do I get the detailed procedure to find GCD of 849, 297, 855?

You can find a detailed procedure to find GCD of 849, 297, 855 on our page.

3. How to find GCD of 849, 297, 855 on a calculator?

You can find the GCD of 849, 297, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.