GCD of 397, 394, 22, 312 Calculator

Given Input numbers are 397, 394, 22, 312

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 394

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

1, 2, 197, 394

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 397, 394, 22, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 394, 22, 312 is 1.

Therefore, GCD of numbers 397, 394, 22, 312 is 1

Given Input Data is 397, 394, 22, 312

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

Prime Factorization of 397 is 397

Prime Factorization of 394 is 2 x 197

Prime Factorization of 22 is 2 x 11

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(397, 394) = 156418

GCD(397, 394) = ( 397 x 394 ) / 156418

GCD(397, 394) = 156418 / 156418

GCD(397, 394) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 397, 394, 22, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 593, 44, 187
• GCD of 156, 434, 19, 700
• GCD of 919, 255, 84, 907
• GCD of 331, 502, 45, 233
• GCD of 352, 545, 43, 453

1. What is the GCD of 397, 394, 22, 312?

GCD of 397, 394, 22, 312 is 1

2. Where do I get the detailed procedure to find GCD of 397, 394, 22, 312?

You can find a detailed procedure to find GCD of 397, 394, 22, 312 on our page.

3. How to find GCD of 397, 394, 22, 312 on a calculator?

You can find the GCD of 397, 394, 22, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.