GCD of 12, 38, 14, 40 Calculator

Given Input numbers are 12, 38, 14, 40

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 38

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

1, 2, 19, 38

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 40

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

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

Greatest Common Divisior

We found the divisors of 12, 38, 14, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 38, 14, 40 is 2.

Therefore, GCD of numbers 12, 38, 14, 40 is 2

Given Input Data is 12, 38, 14, 40

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 38 is 2 x 19

Prime Factorization of 14 is 2 x 7

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

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(12, 38) = 228

GCD(12, 38) = ( 12 x 38 ) / 228

GCD(12, 38) = 456 / 228

GCD(12, 38) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

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

GCD of 12, 38, 14, 40 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 60, 89, 77
• GCD of 69, 33, 45, 46
• GCD of 71, 40, 72, 29
• GCD of 81, 90, 37, 14
• GCD of 46, 78, 49, 33

1. What is the GCD of 12, 38, 14, 40?

GCD of 12, 38, 14, 40 is 2

2. Where do I get the detailed procedure to find GCD of 12, 38, 14, 40?

You can find a detailed procedure to find GCD of 12, 38, 14, 40 on our page.

3. How to find GCD of 12, 38, 14, 40 on a calculator?

You can find the GCD of 12, 38, 14, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.