GCD of 117, 849, 313 Calculator

Given Input numbers are 117, 849, 313

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 849

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

1, 3, 283, 849

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 117, 849, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 849, 313 is 1.

Therefore, GCD of numbers 117, 849, 313 is 1

Given Input Data is 117, 849, 313

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 849 is 3 x 283

Prime Factorization of 313 is 313

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(117, 849) = 33111

GCD(117, 849) = ( 117 x 849 ) / 33111

GCD(117, 849) = 99333 / 33111

GCD(117, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

GCD of 117, 849, 313 is 1

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• GCD of 470, 599, 784
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1. What is the GCD of 117, 849, 313?

GCD of 117, 849, 313 is 1

2. Where do I get the detailed procedure to find GCD of 117, 849, 313?

You can find a detailed procedure to find GCD of 117, 849, 313 on our page.

3. How to find GCD of 117, 849, 313 on a calculator?

You can find the GCD of 117, 849, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.