GCD of 995, 909, 996 Calculator

Given Input numbers are 995, 909, 996

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 995, 909, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 909, 996 is 1.

Therefore, GCD of numbers 995, 909, 996 is 1

Given Input Data is 995, 909, 996

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(995, 909) = 904455

GCD(995, 909) = ( 995 x 909 ) / 904455

GCD(995, 909) = 904455 / 904455

GCD(995, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 995, 909, 996 is 1

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1. What is the GCD of 995, 909, 996?

GCD of 995, 909, 996 is 1

2. Where do I get the detailed procedure to find GCD of 995, 909, 996?

You can find a detailed procedure to find GCD of 995, 909, 996 on our page.

3. How to find GCD of 995, 909, 996 on a calculator?

You can find the GCD of 995, 909, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.