GCD of 96, 31, 47, 41 Calculator

Given Input numbers are 96, 31, 47, 41

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 31

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

1, 31

Divisors of 47

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

1, 47

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 96, 31, 47, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 31, 47, 41 is 1.

Therefore, GCD of numbers 96, 31, 47, 41 is 1

Given Input Data is 96, 31, 47, 41

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 31 is 31

Prime Factorization of 47 is 47

Prime Factorization of 41 is 41

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(96, 31) = 2976

GCD(96, 31) = ( 96 x 31 ) / 2976

GCD(96, 31) = 2976 / 2976

GCD(96, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

GCD of 96, 31, 47, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 71, 87, 77
• GCD of 76, 40, 98, 75
• GCD of 59, 49, 32, 30
• GCD of 94, 47, 36, 37
• GCD of 99, 97, 21, 46

1. What is the GCD of 96, 31, 47, 41?

GCD of 96, 31, 47, 41 is 1

2. Where do I get the detailed procedure to find GCD of 96, 31, 47, 41?

You can find a detailed procedure to find GCD of 96, 31, 47, 41 on our page.

3. How to find GCD of 96, 31, 47, 41 on a calculator?

You can find the GCD of 96, 31, 47, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.