GCD of 15, 48, 78, 23 Calculator

Given Input numbers are 15, 48, 78, 23

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Greatest Common Divisior

We found the divisors of 15, 48, 78, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 48, 78, 23 is 1.

Therefore, GCD of numbers 15, 48, 78, 23 is 1

Given Input Data is 15, 48, 78, 23

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

Prime Factorization of 15 is 3 x 5

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 23 is 23

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(15, 48) = 240

GCD(15, 48) = ( 15 x 48 ) / 240

GCD(15, 48) = 720 / 240

GCD(15, 48) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

GCD of 15, 48, 78, 23 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 78, 48, 86
• GCD of 39, 27, 43, 60
• GCD of 78, 41, 35, 27
• GCD of 24, 78, 54, 90
• GCD of 85, 79, 65, 26

1. What is the GCD of 15, 48, 78, 23?

GCD of 15, 48, 78, 23 is 1

2. Where do I get the detailed procedure to find GCD of 15, 48, 78, 23?

You can find a detailed procedure to find GCD of 15, 48, 78, 23 on our page.

3. How to find GCD of 15, 48, 78, 23 on a calculator?

You can find the GCD of 15, 48, 78, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.