GCD of 723, 130, 488 Calculator

Given Input numbers are 723, 130, 488

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 723, 130, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 130, 488 is 1.

Therefore, GCD of numbers 723, 130, 488 is 1

Given Input Data is 723, 130, 488

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(723, 130) = 93990

GCD(723, 130) = ( 723 x 130 ) / 93990

GCD(723, 130) = 93990 / 93990

GCD(723, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 723, 130, 488 is 1

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1. What is the GCD of 723, 130, 488?

GCD of 723, 130, 488 is 1

2. Where do I get the detailed procedure to find GCD of 723, 130, 488?

You can find a detailed procedure to find GCD of 723, 130, 488 on our page.

3. How to find GCD of 723, 130, 488 on a calculator?

You can find the GCD of 723, 130, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.