GCD of 15, 12, 34, 16 Calculator

Given Input numbers are 15, 12, 34, 16

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 15, 12, 34, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 12, 34, 16 is 1.

Therefore, GCD of numbers 15, 12, 34, 16 is 1

Given Input Data is 15, 12, 34, 16

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 34 is 2 x 17

Prime Factorization of 16 is 2 x 2 x 2 x 2

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, 12) = 60

GCD(15, 12) = ( 15 x 12 ) / 60

GCD(15, 12) = 180 / 60

GCD(15, 12) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

GCD of 15, 12, 34, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 23, 24, 21
• GCD of 41, 64, 15, 16
• GCD of 89, 48, 53, 19
• GCD of 71, 78, 79, 84
• GCD of 15, 45, 82, 72

1. What is the GCD of 15, 12, 34, 16?

GCD of 15, 12, 34, 16 is 1

2. Where do I get the detailed procedure to find GCD of 15, 12, 34, 16?

You can find a detailed procedure to find GCD of 15, 12, 34, 16 on our page.

3. How to find GCD of 15, 12, 34, 16 on a calculator?

You can find the GCD of 15, 12, 34, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.