GCD of 28, 741, 428, 306 Calculator

Given Input numbers are 28, 741, 428, 306

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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

Greatest Common Divisior

We found the divisors of 28, 741, 428, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 741, 428, 306 is 1.

Therefore, GCD of numbers 28, 741, 428, 306 is 1

Given Input Data is 28, 741, 428, 306

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 741 is 3 x 13 x 19

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 306 is 2 x 3 x 3 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, 741) = 20748

GCD(28, 741) = ( 28 x 741 ) / 20748

GCD(28, 741) = 20748 / 20748

GCD(28, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

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

GCD of 28, 741, 428, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 856, 816, 400
• GCD of 69, 528, 283, 457
• GCD of 81, 480, 733, 303
• GCD of 14, 474, 606, 110
• GCD of 79, 999, 324, 878

1. What is the GCD of 28, 741, 428, 306?

GCD of 28, 741, 428, 306 is 1

2. Where do I get the detailed procedure to find GCD of 28, 741, 428, 306?

You can find a detailed procedure to find GCD of 28, 741, 428, 306 on our page.

3. How to find GCD of 28, 741, 428, 306 on a calculator?

You can find the GCD of 28, 741, 428, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.