GCD of 38, 96, 14, 41 Calculator

Given Input numbers are 38, 96, 14, 41

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 14

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

1, 2, 7, 14

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 38, 96, 14, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 96, 14, 41 is 1.

Therefore, GCD of numbers 38, 96, 14, 41 is 1

Given Input Data is 38, 96, 14, 41

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 41 is 41

The above numbers do not have any common prime factor. So GCD is 1

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, 96) = 1824

GCD(38, 96) = ( 38 x 96 ) / 1824

GCD(38, 96) = 3648 / 1824

GCD(38, 96) = 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 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

GCD of 38, 96, 14, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 94, 11, 47
• GCD of 42, 59, 96, 78
• GCD of 89, 74, 15, 56
• GCD of 71, 30, 14, 70
• GCD of 62, 36, 59, 57

1. What is the GCD of 38, 96, 14, 41?

GCD of 38, 96, 14, 41 is 1

2. Where do I get the detailed procedure to find GCD of 38, 96, 14, 41?

You can find a detailed procedure to find GCD of 38, 96, 14, 41 on our page.

3. How to find GCD of 38, 96, 14, 41 on a calculator?

You can find the GCD of 38, 96, 14, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.