GCD of 44, 54, 39, 89 Calculator

Given Input numbers are 44, 54, 39, 89

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 39

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

1, 3, 13, 39

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 44, 54, 39, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 54, 39, 89 is 1.

Therefore, GCD of numbers 44, 54, 39, 89 is 1

Given Input Data is 44, 54, 39, 89

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

Prime Factorization of 44 is 2 x 2 x 11

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 89 is 89

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(44, 54) = 1188

GCD(44, 54) = ( 44 x 54 ) / 1188

GCD(44, 54) = 2376 / 1188

GCD(44, 54) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

GCD of 44, 54, 39, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 79, 31, 59
• GCD of 77, 69, 92, 44
• GCD of 27, 90, 54, 15
• GCD of 92, 91, 30, 13
• GCD of 51, 97, 48, 54

1. What is the GCD of 44, 54, 39, 89?

GCD of 44, 54, 39, 89 is 1

2. Where do I get the detailed procedure to find GCD of 44, 54, 39, 89?

You can find a detailed procedure to find GCD of 44, 54, 39, 89 on our page.

3. How to find GCD of 44, 54, 39, 89 on a calculator?

You can find the GCD of 44, 54, 39, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.