GCD of 935, 800, 849 Calculator

Given Input numbers are 935, 800, 849

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 935, 800, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 800, 849 is 1.

Therefore, GCD of numbers 935, 800, 849 is 1

Given Input Data is 935, 800, 849

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(935, 800) = 149600

GCD(935, 800) = ( 935 x 800 ) / 149600

GCD(935, 800) = 748000 / 149600

GCD(935, 800) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 849

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

LCM(5, 849) = 4245

GCD(5, 849) = ( 5 x 849 ) / 4245

GCD(5, 849) = 4245 / 4245

GCD(5, 849) = 1

GCD of 935, 800, 849 is 1

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1. What is the GCD of 935, 800, 849?

GCD of 935, 800, 849 is 1

2. Where do I get the detailed procedure to find GCD of 935, 800, 849?

You can find a detailed procedure to find GCD of 935, 800, 849 on our page.

3. How to find GCD of 935, 800, 849 on a calculator?

You can find the GCD of 935, 800, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.