GCD of 32, 8, 38, 45 Calculator

Given Input numbers are 32, 8, 38, 45

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

Divisors of 32

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

1, 2, 4, 8, 16, 32

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 38

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

1, 2, 19, 38

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 32, 8, 38, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 8, 38, 45 is 1.

Therefore, GCD of numbers 32, 8, 38, 45 is 1

Given Input Data is 32, 8, 38, 45

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

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

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 38 is 2 x 19

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(32, 8) = 32

GCD(32, 8) = ( 32 x 8 ) / 32

GCD(32, 8) = 256 / 32

GCD(32, 8) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 38

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

LCM(8, 38) = 152

GCD(8, 38) = ( 8 x 38 ) / 152

GCD(8, 38) = 304 / 152

GCD(8, 38) = 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 32, 8, 38, 45 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 2, 26, 35
• GCD of 33, 2, 33, 39
• GCD of 50, 6, 56, 38
• GCD of 24, 5, 55, 25
• GCD of 58, 4, 53, 60

1. What is the GCD of 32, 8, 38, 45?

GCD of 32, 8, 38, 45 is 1

2. Where do I get the detailed procedure to find GCD of 32, 8, 38, 45?

You can find a detailed procedure to find GCD of 32, 8, 38, 45 on our page.

3. How to find GCD of 32, 8, 38, 45 on a calculator?

You can find the GCD of 32, 8, 38, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.