GCD of 36, 2, 14, 34 Calculator

Given Input numbers are 36, 2, 14, 34

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 2

List of positive integer divisors of 2 that divides 2 without a remainder.

1, 2

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 34

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

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 36, 2, 14, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 2, 14, 34 is 2.

Therefore, GCD of numbers 36, 2, 14, 34 is 2

Given Input Data is 36, 2, 14, 34

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 2 is 2

Prime Factorization of 14 is 2 x 7

Prime Factorization of 34 is 2 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(36, 2) = 36

GCD(36, 2) = ( 36 x 2 ) / 36

GCD(36, 2) = 72 / 36

GCD(36, 2) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

GCD of 36, 2, 14, 34 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 8, 41, 99
• GCD of 52, 9, 38, 13
• GCD of 96, 7, 88, 97
• GCD of 93, 3, 42, 39
• GCD of 96, 4, 81, 42

1. What is the GCD of 36, 2, 14, 34?

GCD of 36, 2, 14, 34 is 2

2. Where do I get the detailed procedure to find GCD of 36, 2, 14, 34?

You can find a detailed procedure to find GCD of 36, 2, 14, 34 on our page.

3. How to find GCD of 36, 2, 14, 34 on a calculator?

You can find the GCD of 36, 2, 14, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.