GCD of 36, 186, 866, 113 Calculator

Given Input numbers are 36, 186, 866, 113

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 866

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

1, 2, 433, 866

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 36, 186, 866, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 186, 866, 113 is 1.

Therefore, GCD of numbers 36, 186, 866, 113 is 1

Given Input Data is 36, 186, 866, 113

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 866 is 2 x 433

Prime Factorization of 113 is 113

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(36, 186) = 1116

GCD(36, 186) = ( 36 x 186 ) / 1116

GCD(36, 186) = 6696 / 1116

GCD(36, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 866

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

LCM(6, 866) = 2598

GCD(6, 866) = ( 6 x 866 ) / 2598

GCD(6, 866) = 5196 / 2598

GCD(6, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 36, 186, 866, 113 is 1

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• GCD of 67, 404, 600, 556
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• GCD of 10, 557, 758, 845

1. What is the GCD of 36, 186, 866, 113?

GCD of 36, 186, 866, 113 is 1

2. Where do I get the detailed procedure to find GCD of 36, 186, 866, 113?

You can find a detailed procedure to find GCD of 36, 186, 866, 113 on our page.

3. How to find GCD of 36, 186, 866, 113 on a calculator?

You can find the GCD of 36, 186, 866, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.