GCD of 116, 258, 21, 845 Calculator

Given Input numbers are 116, 258, 21, 845

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 116, 258, 21, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 258, 21, 845 is 1.

Therefore, GCD of numbers 116, 258, 21, 845 is 1

Given Input Data is 116, 258, 21, 845

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 21 is 3 x 7

Prime Factorization of 845 is 5 x 13 x 13

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(116, 258) = 14964

GCD(116, 258) = ( 116 x 258 ) / 14964

GCD(116, 258) = 29928 / 14964

GCD(116, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 116, 258, 21, 845 is 1

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1. What is the GCD of 116, 258, 21, 845?

GCD of 116, 258, 21, 845 is 1

2. Where do I get the detailed procedure to find GCD of 116, 258, 21, 845?

You can find a detailed procedure to find GCD of 116, 258, 21, 845 on our page.

3. How to find GCD of 116, 258, 21, 845 on a calculator?

You can find the GCD of 116, 258, 21, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.