GCD of 406, 990, 18, 870 Calculator

Given Input numbers are 406, 990, 18, 870

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

Divisors of 406

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

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

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 406, 990, 18, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 990, 18, 870 is 2.

Therefore, GCD of numbers 406, 990, 18, 870 is 2

Given Input Data is 406, 990, 18, 870

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

Prime Factorization of 406 is 2 x 7 x 29

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 870 is 2 x 3 x 5 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(406, 990) = 200970

GCD(406, 990) = ( 406 x 990 ) / 200970

GCD(406, 990) = 401940 / 200970

GCD(406, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

GCD of 406, 990, 18, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 487, 29, 873
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• GCD of 618, 192, 77, 642
• GCD of 165, 219, 84, 627
• GCD of 477, 215, 74, 884

1. What is the GCD of 406, 990, 18, 870?

GCD of 406, 990, 18, 870 is 2

2. Where do I get the detailed procedure to find GCD of 406, 990, 18, 870?

You can find a detailed procedure to find GCD of 406, 990, 18, 870 on our page.

3. How to find GCD of 406, 990, 18, 870 on a calculator?

You can find the GCD of 406, 990, 18, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.