GCD of 996, 995, 313, 165 Calculator

Given Input numbers are 996, 995, 313, 165

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

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

Divisors of 995

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

1, 5, 199, 995

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 996, 995, 313, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 995, 313, 165 is 1.

Therefore, GCD of numbers 996, 995, 313, 165 is 1

Given Input Data is 996, 995, 313, 165

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

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 313 is 313

Prime Factorization of 165 is 3 x 5 x 11

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(996, 995) = 991020

GCD(996, 995) = ( 996 x 995 ) / 991020

GCD(996, 995) = 991020 / 991020

GCD(996, 995) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 996, 995, 313, 165 is 1

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1. What is the GCD of 996, 995, 313, 165?

GCD of 996, 995, 313, 165 is 1

2. Where do I get the detailed procedure to find GCD of 996, 995, 313, 165?

You can find a detailed procedure to find GCD of 996, 995, 313, 165 on our page.

3. How to find GCD of 996, 995, 313, 165 on a calculator?

You can find the GCD of 996, 995, 313, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.