GCD of 28, 990, 475, 412 Calculator

Given Input numbers are 28, 990, 475, 412

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 28, 990, 475, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 990, 475, 412 is 1.

Therefore, GCD of numbers 28, 990, 475, 412 is 1

Given Input Data is 28, 990, 475, 412

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 412 is 2 x 2 x 103

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, 990) = 13860

GCD(28, 990) = ( 28 x 990 ) / 13860

GCD(28, 990) = 27720 / 13860

GCD(28, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 28, 990, 475, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 570, 914, 944
• GCD of 12, 746, 812, 421
• GCD of 89, 129, 904, 660
• GCD of 25, 739, 502, 413
• GCD of 79, 308, 371, 806

1. What is the GCD of 28, 990, 475, 412?

GCD of 28, 990, 475, 412 is 1

2. Where do I get the detailed procedure to find GCD of 28, 990, 475, 412?

You can find a detailed procedure to find GCD of 28, 990, 475, 412 on our page.

3. How to find GCD of 28, 990, 475, 412 on a calculator?

You can find the GCD of 28, 990, 475, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.