GCD of 920, 990, 90, 406 Calculator

Given Input numbers are 920, 990, 90, 406

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 920, 990, 90, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 990, 90, 406 is 2.

Therefore, GCD of numbers 920, 990, 90, 406 is 2

Given Input Data is 920, 990, 90, 406

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(920, 990) = 91080

GCD(920, 990) = ( 920 x 990 ) / 91080

GCD(920, 990) = 910800 / 91080

GCD(920, 990) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 90

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

LCM(10, 90) = 90

GCD(10, 90) = ( 10 x 90 ) / 90

GCD(10, 90) = 900 / 90

GCD(10, 90) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 406

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

LCM(10, 406) = 2030

GCD(10, 406) = ( 10 x 406 ) / 2030

GCD(10, 406) = 4060 / 2030

GCD(10, 406) = 2

GCD of 920, 990, 90, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 586, 34, 766
• GCD of 235, 240, 46, 694
• GCD of 225, 143, 33, 849
• GCD of 234, 699, 29, 437
• GCD of 425, 767, 23, 363

1. What is the GCD of 920, 990, 90, 406?

GCD of 920, 990, 90, 406 is 2

2. Where do I get the detailed procedure to find GCD of 920, 990, 90, 406?

You can find a detailed procedure to find GCD of 920, 990, 90, 406 on our page.

3. How to find GCD of 920, 990, 90, 406 on a calculator?

You can find the GCD of 920, 990, 90, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.