GCD of 39, 17, 18, 48 Calculator

Given Input numbers are 39, 17, 18, 48

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Greatest Common Divisior

We found the divisors of 39, 17, 18, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 17, 18, 48 is 1.

Therefore, GCD of numbers 39, 17, 18, 48 is 1

Given Input Data is 39, 17, 18, 48

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 17 is 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(39, 17) = 663

GCD(39, 17) = ( 39 x 17 ) / 663

GCD(39, 17) = 663 / 663

GCD(39, 17) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

GCD of 39, 17, 18, 48 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 16, 54, 47
• GCD of 95, 32, 66, 90
• GCD of 13, 14, 48, 86
• GCD of 91, 81, 36, 46
• GCD of 78, 32, 24, 60

1. What is the GCD of 39, 17, 18, 48?

GCD of 39, 17, 18, 48 is 1

2. Where do I get the detailed procedure to find GCD of 39, 17, 18, 48?

You can find a detailed procedure to find GCD of 39, 17, 18, 48 on our page.

3. How to find GCD of 39, 17, 18, 48 on a calculator?

You can find the GCD of 39, 17, 18, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.