GCD of 12, 54, 38, 59 Calculator

Given Input numbers are 12, 54, 38, 59

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 12, 54, 38, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 54, 38, 59 is 1.

Therefore, GCD of numbers 12, 54, 38, 59 is 1

Given Input Data is 12, 54, 38, 59

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 38 is 2 x 19

Prime Factorization of 59 is 59

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(12, 54) = 108

GCD(12, 54) = ( 12 x 54 ) / 108

GCD(12, 54) = 648 / 108

GCD(12, 54) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

GCD of 12, 54, 38, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 99, 99, 92
• GCD of 72, 89, 23, 83
• GCD of 10, 63, 79, 70
• GCD of 52, 33, 62, 58
• GCD of 35, 88, 65, 64

1. What is the GCD of 12, 54, 38, 59?

GCD of 12, 54, 38, 59 is 1

2. Where do I get the detailed procedure to find GCD of 12, 54, 38, 59?

You can find a detailed procedure to find GCD of 12, 54, 38, 59 on our page.

3. How to find GCD of 12, 54, 38, 59 on a calculator?

You can find the GCD of 12, 54, 38, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.