GCD of 704, 241, 721, 323 Calculator

Given Input numbers are 704, 241, 721, 323

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 704, 241, 721, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 241, 721, 323 is 1.

Therefore, GCD of numbers 704, 241, 721, 323 is 1

Given Input Data is 704, 241, 721, 323

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 241 is 241

Prime Factorization of 721 is 7 x 103

Prime Factorization of 323 is 17 x 19

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(704, 241) = 169664

GCD(704, 241) = ( 704 x 241 ) / 169664

GCD(704, 241) = 169664 / 169664

GCD(704, 241) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 704, 241, 721, 323 is 1

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1. What is the GCD of 704, 241, 721, 323?

GCD of 704, 241, 721, 323 is 1

2. Where do I get the detailed procedure to find GCD of 704, 241, 721, 323?

You can find a detailed procedure to find GCD of 704, 241, 721, 323 on our page.

3. How to find GCD of 704, 241, 721, 323 on a calculator?

You can find the GCD of 704, 241, 721, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.