GCD of 38, 18, 42, 45 Calculator

Given Input numbers are 38, 18, 42, 45

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 18

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

1, 2, 3, 6, 9, 18

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 38, 18, 42, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 18, 42, 45 is 1.

Therefore, GCD of numbers 38, 18, 42, 45 is 1

Given Input Data is 38, 18, 42, 45

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 45 is 3 x 3 x 5

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, 18) = 342

GCD(38, 18) = ( 38 x 18 ) / 342

GCD(38, 18) = 684 / 342

GCD(38, 18) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

GCD of 38, 18, 42, 45 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 46, 85, 31
• GCD of 71, 75, 19, 22
• GCD of 44, 67, 55, 50
• GCD of 38, 70, 42, 24
• GCD of 76, 85, 36, 40

1. What is the GCD of 38, 18, 42, 45?

GCD of 38, 18, 42, 45 is 1

2. Where do I get the detailed procedure to find GCD of 38, 18, 42, 45?

You can find a detailed procedure to find GCD of 38, 18, 42, 45 on our page.

3. How to find GCD of 38, 18, 42, 45 on a calculator?

You can find the GCD of 38, 18, 42, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.