GCD of 130, 682, 12, 699 Calculator

Given Input numbers are 130, 682, 12, 699

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 130, 682, 12, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 682, 12, 699 is 1.

Therefore, GCD of numbers 130, 682, 12, 699 is 1

Given Input Data is 130, 682, 12, 699

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 682 is 2 x 11 x 31

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 699 is 3 x 233

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, 682) = 44330

GCD(130, 682) = ( 130 x 682 ) / 44330

GCD(130, 682) = 88660 / 44330

GCD(130, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

GCD of 130, 682, 12, 699 is 1

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1. What is the GCD of 130, 682, 12, 699?

GCD of 130, 682, 12, 699 is 1

2. Where do I get the detailed procedure to find GCD of 130, 682, 12, 699?

You can find a detailed procedure to find GCD of 130, 682, 12, 699 on our page.

3. How to find GCD of 130, 682, 12, 699 on a calculator?

You can find the GCD of 130, 682, 12, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.