GCD of 130, 885, 728, 348 Calculator

Given Input numbers are 130, 885, 728, 348

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 130, 885, 728, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 885, 728, 348 is 1.

Therefore, GCD of numbers 130, 885, 728, 348 is 1

Given Input Data is 130, 885, 728, 348

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 885 is 3 x 5 x 59

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 885) = 23010

GCD(130, 885) = ( 130 x 885 ) / 23010

GCD(130, 885) = 115050 / 23010

GCD(130, 885) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 728

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

LCM(5, 728) = 3640

GCD(5, 728) = ( 5 x 728 ) / 3640

GCD(5, 728) = 3640 / 3640

GCD(5, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 130, 885, 728, 348 is 1

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1. What is the GCD of 130, 885, 728, 348?

GCD of 130, 885, 728, 348 is 1

2. Where do I get the detailed procedure to find GCD of 130, 885, 728, 348?

You can find a detailed procedure to find GCD of 130, 885, 728, 348 on our page.

3. How to find GCD of 130, 885, 728, 348 on a calculator?

You can find the GCD of 130, 885, 728, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.