GCD of 436, 304, 12, 849 Calculator

Given Input numbers are 436, 304, 12, 849

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 436, 304, 12, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 304, 12, 849 is 1.

Therefore, GCD of numbers 436, 304, 12, 849 is 1

Given Input Data is 436, 304, 12, 849

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 849 is 3 x 283

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(436, 304) = 33136

GCD(436, 304) = ( 436 x 304 ) / 33136

GCD(436, 304) = 132544 / 33136

GCD(436, 304) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 12

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

LCM(4, 12) = 12

GCD(4, 12) = ( 4 x 12 ) / 12

GCD(4, 12) = 48 / 12

GCD(4, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 849

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

LCM(4, 849) = 3396

GCD(4, 849) = ( 4 x 849 ) / 3396

GCD(4, 849) = 3396 / 3396

GCD(4, 849) = 1

GCD of 436, 304, 12, 849 is 1

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1. What is the GCD of 436, 304, 12, 849?

GCD of 436, 304, 12, 849 is 1

2. Where do I get the detailed procedure to find GCD of 436, 304, 12, 849?

You can find a detailed procedure to find GCD of 436, 304, 12, 849 on our page.

3. How to find GCD of 436, 304, 12, 849 on a calculator?

You can find the GCD of 436, 304, 12, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.