GCD of 396, 306, 238, 287 Calculator

Given Input numbers are 396, 306, 238, 287

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 396, 306, 238, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 306, 238, 287 is 1.

Therefore, GCD of numbers 396, 306, 238, 287 is 1

Given Input Data is 396, 306, 238, 287

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 287 is 7 x 41

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(396, 306) = 6732

GCD(396, 306) = ( 396 x 306 ) / 6732

GCD(396, 306) = 121176 / 6732

GCD(396, 306) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 238

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

LCM(18, 238) = 2142

GCD(18, 238) = ( 18 x 238 ) / 2142

GCD(18, 238) = 4284 / 2142

GCD(18, 238) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 287

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

LCM(2, 287) = 574

GCD(2, 287) = ( 2 x 287 ) / 574

GCD(2, 287) = 574 / 574

GCD(2, 287) = 1

GCD of 396, 306, 238, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 408, 165, 337
• GCD of 674, 324, 811, 905
• GCD of 727, 880, 432, 228
• GCD of 127, 318, 652, 209
• GCD of 853, 255, 687, 365

1. What is the GCD of 396, 306, 238, 287?

GCD of 396, 306, 238, 287 is 1

2. Where do I get the detailed procedure to find GCD of 396, 306, 238, 287?

You can find a detailed procedure to find GCD of 396, 306, 238, 287 on our page.

3. How to find GCD of 396, 306, 238, 287 on a calculator?

You can find the GCD of 396, 306, 238, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.