GCD of 39, 51, 15 Calculator

Given Input numbers are 39, 51, 15

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 15

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

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 39, 51, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 51, 15 is 3.

Therefore, GCD of numbers 39, 51, 15 is 3

Given Input Data is 39, 51, 15

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 51 is 3 x 17

Prime Factorization of 15 is 3 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 51) = 663

GCD(39, 51) = ( 39 x 51 ) / 663

GCD(39, 51) = 1989 / 663

GCD(39, 51) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

GCD of 39, 51, 15 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 20, 80
• GCD of 99, 75, 71
• GCD of 67, 82, 14
• GCD of 38, 25, 37
• GCD of 30, 97, 32

1. What is the GCD of 39, 51, 15?

GCD of 39, 51, 15 is 3

2. Where do I get the detailed procedure to find GCD of 39, 51, 15?

You can find a detailed procedure to find GCD of 39, 51, 15 on our page.

3. How to find GCD of 39, 51, 15 on a calculator?

You can find the GCD of 39, 51, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.