GCD of 133, 728, 308, 130 Calculator

Given Input numbers are 133, 728, 308, 130

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 133, 728, 308, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 728, 308, 130 is 1.

Therefore, GCD of numbers 133, 728, 308, 130 is 1

Given Input Data is 133, 728, 308, 130

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 130 is 2 x 5 x 13

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(133, 728) = 13832

GCD(133, 728) = ( 133 x 728 ) / 13832

GCD(133, 728) = 96824 / 13832

GCD(133, 728) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 308

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

LCM(7, 308) = 308

GCD(7, 308) = ( 7 x 308 ) / 308

GCD(7, 308) = 2156 / 308

GCD(7, 308) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 130

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

LCM(7, 130) = 910

GCD(7, 130) = ( 7 x 130 ) / 910

GCD(7, 130) = 910 / 910

GCD(7, 130) = 1

GCD of 133, 728, 308, 130 is 1

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1. What is the GCD of 133, 728, 308, 130?

GCD of 133, 728, 308, 130 is 1

2. Where do I get the detailed procedure to find GCD of 133, 728, 308, 130?

You can find a detailed procedure to find GCD of 133, 728, 308, 130 on our page.

3. How to find GCD of 133, 728, 308, 130 on a calculator?

You can find the GCD of 133, 728, 308, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.