GCD of 38, 990, 138, 856 Calculator

Given Input numbers are 38, 990, 138, 856

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 38, 990, 138, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 990, 138, 856 is 2.

Therefore, GCD of numbers 38, 990, 138, 856 is 2

Given Input Data is 38, 990, 138, 856

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

Prime Factorization of 38 is 2 x 19

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(38, 990) = 18810

GCD(38, 990) = ( 38 x 990 ) / 18810

GCD(38, 990) = 37620 / 18810

GCD(38, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 38, 990, 138, 856 is 2

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1. What is the GCD of 38, 990, 138, 856?

GCD of 38, 990, 138, 856 is 2

2. Where do I get the detailed procedure to find GCD of 38, 990, 138, 856?

You can find a detailed procedure to find GCD of 38, 990, 138, 856 on our page.

3. How to find GCD of 38, 990, 138, 856 on a calculator?

You can find the GCD of 38, 990, 138, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.