GCD of 91, 299, 299, 866 Calculator

Given Input numbers are 91, 299, 299, 866

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 91, 299, 299, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 299, 299, 866 is 1.

Therefore, GCD of numbers 91, 299, 299, 866 is 1

Given Input Data is 91, 299, 299, 866

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 299 is 13 x 23

Prime Factorization of 299 is 13 x 23

Prime Factorization of 866 is 2 x 433

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(91, 299) = 2093

GCD(91, 299) = ( 91 x 299 ) / 2093

GCD(91, 299) = 27209 / 2093

GCD(91, 299) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 299

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

LCM(13, 299) = 299

GCD(13, 299) = ( 13 x 299 ) / 299

GCD(13, 299) = 3887 / 299

GCD(13, 299) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 866

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

LCM(13, 866) = 11258

GCD(13, 866) = ( 13 x 866 ) / 11258

GCD(13, 866) = 11258 / 11258

GCD(13, 866) = 1

GCD of 91, 299, 299, 866 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 854, 146, 923
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• GCD of 46, 591, 632, 414

1. What is the GCD of 91, 299, 299, 866?

GCD of 91, 299, 299, 866 is 1

2. Where do I get the detailed procedure to find GCD of 91, 299, 299, 866?

You can find a detailed procedure to find GCD of 91, 299, 299, 866 on our page.

3. How to find GCD of 91, 299, 299, 866 on a calculator?

You can find the GCD of 91, 299, 299, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.