GCD of 183, 130, 48, 728 Calculator

Given Input numbers are 183, 130, 48, 728

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

Greatest Common Divisior

We found the divisors of 183, 130, 48, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 130, 48, 728 is 1.

Therefore, GCD of numbers 183, 130, 48, 728 is 1

Given Input Data is 183, 130, 48, 728

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 728 is 2 x 2 x 2 x 7 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(183, 130) = 23790

GCD(183, 130) = ( 183 x 130 ) / 23790

GCD(183, 130) = 23790 / 23790

GCD(183, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 183, 130, 48, 728 is 1

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1. What is the GCD of 183, 130, 48, 728?

GCD of 183, 130, 48, 728 is 1

2. Where do I get the detailed procedure to find GCD of 183, 130, 48, 728?

You can find a detailed procedure to find GCD of 183, 130, 48, 728 on our page.

3. How to find GCD of 183, 130, 48, 728 on a calculator?

You can find the GCD of 183, 130, 48, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.