GCD of 318, 796, 290, 130 Calculator

Given Input numbers are 318, 796, 290, 130

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 318, 796, 290, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 796, 290, 130 is 2.

Therefore, GCD of numbers 318, 796, 290, 130 is 2

Given Input Data is 318, 796, 290, 130

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 130 is 2 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(318, 796) = 126564

GCD(318, 796) = ( 318 x 796 ) / 126564

GCD(318, 796) = 253128 / 126564

GCD(318, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 130

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

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

GCD(2, 130) = 260 / 130

GCD(2, 130) = 2

GCD of 318, 796, 290, 130 is 2

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1. What is the GCD of 318, 796, 290, 130?

GCD of 318, 796, 290, 130 is 2

2. Where do I get the detailed procedure to find GCD of 318, 796, 290, 130?

You can find a detailed procedure to find GCD of 318, 796, 290, 130 on our page.

3. How to find GCD of 318, 796, 290, 130 on a calculator?

You can find the GCD of 318, 796, 290, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.