GCD of 51, 39, 81, 34 Calculator

Given Input numbers are 51, 39, 81, 34

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

Divisors of 51

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

1, 3, 17, 51

Divisors of 39

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

1, 3, 13, 39

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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 51, 39, 81, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 39, 81, 34 is 1.

Therefore, GCD of numbers 51, 39, 81, 34 is 1

Given Input Data is 51, 39, 81, 34

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 39 is 3 x 13

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 34 is 2 x 17

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(51, 39) = 663

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

GCD(51, 39) = 1989 / 663

GCD(51, 39) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

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

GCD of 51, 39, 81, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 47, 96, 55
• GCD of 66, 22, 64, 87
• GCD of 33, 71, 93, 42
• GCD of 22, 37, 28, 21
• GCD of 21, 48, 11, 28

1. What is the GCD of 51, 39, 81, 34?

GCD of 51, 39, 81, 34 is 1

2. Where do I get the detailed procedure to find GCD of 51, 39, 81, 34?

You can find a detailed procedure to find GCD of 51, 39, 81, 34 on our page.

3. How to find GCD of 51, 39, 81, 34 on a calculator?

You can find the GCD of 51, 39, 81, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.