GCD of 38, 32, 40, 18 Calculator

Given Input numbers are 38, 32, 40, 18

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 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 18

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

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 38, 32, 40, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 32, 40, 18 is 2.

Therefore, GCD of numbers 38, 32, 40, 18 is 2

Given Input Data is 38, 32, 40, 18

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 18 is 2 x 3 x 3

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, 32) = 608

GCD(38, 32) = ( 38 x 32 ) / 608

GCD(38, 32) = 1216 / 608

GCD(38, 32) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

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

GCD of 38, 32, 40, 18 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 52, 87, 56
• GCD of 65, 92, 90, 93
• GCD of 47, 49, 89, 68
• GCD of 65, 74, 43, 72
• GCD of 98, 48, 87, 99

1. What is the GCD of 38, 32, 40, 18?

GCD of 38, 32, 40, 18 is 2

2. Where do I get the detailed procedure to find GCD of 38, 32, 40, 18?

You can find a detailed procedure to find GCD of 38, 32, 40, 18 on our page.

3. How to find GCD of 38, 32, 40, 18 on a calculator?

You can find the GCD of 38, 32, 40, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.