GCD of 506, 316, 39, 116 Calculator

Given Input numbers are 506, 316, 39, 116

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 506, 316, 39, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 316, 39, 116 is 1.

Therefore, GCD of numbers 506, 316, 39, 116 is 1

Given Input Data is 506, 316, 39, 116

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 39 is 3 x 13

Prime Factorization of 116 is 2 x 2 x 29

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(506, 316) = 79948

GCD(506, 316) = ( 506 x 316 ) / 79948

GCD(506, 316) = 159896 / 79948

GCD(506, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 506, 316, 39, 116 is 1

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1. What is the GCD of 506, 316, 39, 116?

GCD of 506, 316, 39, 116 is 1

2. Where do I get the detailed procedure to find GCD of 506, 316, 39, 116?

You can find a detailed procedure to find GCD of 506, 316, 39, 116 on our page.

3. How to find GCD of 506, 316, 39, 116 on a calculator?

You can find the GCD of 506, 316, 39, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.