GCD of 130, 860, 39, 296 Calculator

Given Input numbers are 130, 860, 39, 296

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

Divisors of 130

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

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 39

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

1, 3, 13, 39

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 130, 860, 39, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 860, 39, 296 is 1.

Therefore, GCD of numbers 130, 860, 39, 296 is 1

Given Input Data is 130, 860, 39, 296

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 39 is 3 x 13

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(130, 860) = 11180

GCD(130, 860) = ( 130 x 860 ) / 11180

GCD(130, 860) = 111800 / 11180

GCD(130, 860) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 39

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

LCM(10, 39) = 390

GCD(10, 39) = ( 10 x 39 ) / 390

GCD(10, 39) = 390 / 390

GCD(10, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 130, 860, 39, 296 is 1

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• GCD of 784, 516, 23, 773
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1. What is the GCD of 130, 860, 39, 296?

GCD of 130, 860, 39, 296 is 1

2. Where do I get the detailed procedure to find GCD of 130, 860, 39, 296?

You can find a detailed procedure to find GCD of 130, 860, 39, 296 on our page.

3. How to find GCD of 130, 860, 39, 296 on a calculator?

You can find the GCD of 130, 860, 39, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.