GCD of 28, 397, 306, 119 Calculator

Given Input numbers are 28, 397, 306, 119

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 397

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

1, 397

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 28, 397, 306, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 397, 306, 119 is 1.

Therefore, GCD of numbers 28, 397, 306, 119 is 1

Given Input Data is 28, 397, 306, 119

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 397 is 397

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

Prime Factorization of 119 is 7 x 17

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(28, 397) = 11116

GCD(28, 397) = ( 28 x 397 ) / 11116

GCD(28, 397) = 11116 / 11116

GCD(28, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 28, 397, 306, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 678, 320, 407
• GCD of 32, 486, 467, 580
• GCD of 43, 190, 212, 474
• GCD of 17, 450, 199, 623
• GCD of 43, 656, 172, 623

1. What is the GCD of 28, 397, 306, 119?

GCD of 28, 397, 306, 119 is 1

2. Where do I get the detailed procedure to find GCD of 28, 397, 306, 119?

You can find a detailed procedure to find GCD of 28, 397, 306, 119 on our page.

3. How to find GCD of 28, 397, 306, 119 on a calculator?

You can find the GCD of 28, 397, 306, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.