GCD of 596, 656, 16, 995 Calculator

Given Input numbers are 596, 656, 16, 995

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 995

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

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 596, 656, 16, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 656, 16, 995 is 1.

Therefore, GCD of numbers 596, 656, 16, 995 is 1

Given Input Data is 596, 656, 16, 995

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 995 is 5 x 199

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(596, 656) = 97744

GCD(596, 656) = ( 596 x 656 ) / 97744

GCD(596, 656) = 390976 / 97744

GCD(596, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 995

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

LCM(4, 995) = 3980

GCD(4, 995) = ( 4 x 995 ) / 3980

GCD(4, 995) = 3980 / 3980

GCD(4, 995) = 1

GCD of 596, 656, 16, 995 is 1

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1. What is the GCD of 596, 656, 16, 995?

GCD of 596, 656, 16, 995 is 1

2. Where do I get the detailed procedure to find GCD of 596, 656, 16, 995?

You can find a detailed procedure to find GCD of 596, 656, 16, 995 on our page.

3. How to find GCD of 596, 656, 16, 995 on a calculator?

You can find the GCD of 596, 656, 16, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.