GCD of 730, 991, 723, 471 Calculator

Given Input numbers are 730, 991, 723, 471

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 723

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

1, 3, 241, 723

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 730, 991, 723, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 991, 723, 471 is 1.

Therefore, GCD of numbers 730, 991, 723, 471 is 1

Given Input Data is 730, 991, 723, 471

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 991 is 991

Prime Factorization of 723 is 3 x 241

Prime Factorization of 471 is 3 x 157

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(730, 991) = 723430

GCD(730, 991) = ( 730 x 991 ) / 723430

GCD(730, 991) = 723430 / 723430

GCD(730, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 730, 991, 723, 471 is 1

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1. What is the GCD of 730, 991, 723, 471?

GCD of 730, 991, 723, 471 is 1

2. Where do I get the detailed procedure to find GCD of 730, 991, 723, 471?

You can find a detailed procedure to find GCD of 730, 991, 723, 471 on our page.

3. How to find GCD of 730, 991, 723, 471 on a calculator?

You can find the GCD of 730, 991, 723, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.