GCD of 44, 30, 47, 31 Calculator

Given Input numbers are 44, 30, 47, 31

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 44, 30, 47, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 30, 47, 31 is 1.

Therefore, GCD of numbers 44, 30, 47, 31 is 1

Given Input Data is 44, 30, 47, 31

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 30 is 2 x 3 x 5

Prime Factorization of 47 is 47

Prime Factorization of 31 is 31

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, 30) = 660

GCD(44, 30) = ( 44 x 30 ) / 660

GCD(44, 30) = 1320 / 660

GCD(44, 30) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 44, 30, 47, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 49, 31, 72
• GCD of 92, 72, 24, 67
• GCD of 94, 66, 38, 58
• GCD of 67, 23, 33, 50
• GCD of 48, 28, 97, 24

1. What is the GCD of 44, 30, 47, 31?

GCD of 44, 30, 47, 31 is 1

2. Where do I get the detailed procedure to find GCD of 44, 30, 47, 31?

You can find a detailed procedure to find GCD of 44, 30, 47, 31 on our page.

3. How to find GCD of 44, 30, 47, 31 on a calculator?

You can find the GCD of 44, 30, 47, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.