GCD of 364, 849, 15, 230 Calculator

Given Input numbers are 364, 849, 15, 230

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 849

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

1, 3, 283, 849

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 364, 849, 15, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 849, 15, 230 is 1.

Therefore, GCD of numbers 364, 849, 15, 230 is 1

Given Input Data is 364, 849, 15, 230

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 849 is 3 x 283

Prime Factorization of 15 is 3 x 5

Prime Factorization of 230 is 2 x 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(364, 849) = 309036

GCD(364, 849) = ( 364 x 849 ) / 309036

GCD(364, 849) = 309036 / 309036

GCD(364, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 364, 849, 15, 230 is 1

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• GCD of 116, 211, 83, 484
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1. What is the GCD of 364, 849, 15, 230?

GCD of 364, 849, 15, 230 is 1

2. Where do I get the detailed procedure to find GCD of 364, 849, 15, 230?

You can find a detailed procedure to find GCD of 364, 849, 15, 230 on our page.

3. How to find GCD of 364, 849, 15, 230 on a calculator?

You can find the GCD of 364, 849, 15, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.