GCD of 812, 366, 36, 115 Calculator

Given Input numbers are 812, 366, 36, 115

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 812, 366, 36, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 366, 36, 115 is 1.

Therefore, GCD of numbers 812, 366, 36, 115 is 1

Given Input Data is 812, 366, 36, 115

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 366 is 2 x 3 x 61

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

Prime Factorization of 115 is 5 x 23

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(812, 366) = 148596

GCD(812, 366) = ( 812 x 366 ) / 148596

GCD(812, 366) = 297192 / 148596

GCD(812, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 115

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

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

GCD(2, 115) = 230 / 230

GCD(2, 115) = 1

GCD of 812, 366, 36, 115 is 1

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1. What is the GCD of 812, 366, 36, 115?

GCD of 812, 366, 36, 115 is 1

2. Where do I get the detailed procedure to find GCD of 812, 366, 36, 115?

You can find a detailed procedure to find GCD of 812, 366, 36, 115 on our page.

3. How to find GCD of 812, 366, 36, 115 on a calculator?

You can find the GCD of 812, 366, 36, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.