GCD of 368, 394, 849, 308 Calculator

Given Input numbers are 368, 394, 849, 308

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 849

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

1, 3, 283, 849

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 368, 394, 849, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 394, 849, 308 is 1.

Therefore, GCD of numbers 368, 394, 849, 308 is 1

Given Input Data is 368, 394, 849, 308

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 394 is 2 x 197

Prime Factorization of 849 is 3 x 283

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(368, 394) = 72496

GCD(368, 394) = ( 368 x 394 ) / 72496

GCD(368, 394) = 144992 / 72496

GCD(368, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 368, 394, 849, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 853, 777, 244
• GCD of 983, 934, 289, 503
• GCD of 394, 794, 450, 729
• GCD of 700, 775, 476, 237
• GCD of 865, 249, 889, 523

1. What is the GCD of 368, 394, 849, 308?

GCD of 368, 394, 849, 308 is 1

2. Where do I get the detailed procedure to find GCD of 368, 394, 849, 308?

You can find a detailed procedure to find GCD of 368, 394, 849, 308 on our page.

3. How to find GCD of 368, 394, 849, 308 on a calculator?

You can find the GCD of 368, 394, 849, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.