GCD of 999, 865, 947, 112 Calculator

Given Input numbers are 999, 865, 947, 112

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 999, 865, 947, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 865, 947, 112 is 1.

Therefore, GCD of numbers 999, 865, 947, 112 is 1

Given Input Data is 999, 865, 947, 112

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 865 is 5 x 173

Prime Factorization of 947 is 947

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(999, 865) = 864135

GCD(999, 865) = ( 999 x 865 ) / 864135

GCD(999, 865) = 864135 / 864135

GCD(999, 865) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 999, 865, 947, 112 is 1

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1. What is the GCD of 999, 865, 947, 112?

GCD of 999, 865, 947, 112 is 1

2. Where do I get the detailed procedure to find GCD of 999, 865, 947, 112?

You can find a detailed procedure to find GCD of 999, 865, 947, 112 on our page.

3. How to find GCD of 999, 865, 947, 112 on a calculator?

You can find the GCD of 999, 865, 947, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.