GCD of 353, 578, 721, 328 Calculator

Given Input numbers are 353, 578, 721, 328

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 721

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

1, 7, 103, 721

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 353, 578, 721, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 578, 721, 328 is 1.

Therefore, GCD of numbers 353, 578, 721, 328 is 1

Given Input Data is 353, 578, 721, 328

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

Prime Factorization of 353 is 353

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 721 is 7 x 103

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(353, 578) = 204034

GCD(353, 578) = ( 353 x 578 ) / 204034

GCD(353, 578) = 204034 / 204034

GCD(353, 578) = 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 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 353, 578, 721, 328 is 1

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1. What is the GCD of 353, 578, 721, 328?

GCD of 353, 578, 721, 328 is 1

2. Where do I get the detailed procedure to find GCD of 353, 578, 721, 328?

You can find a detailed procedure to find GCD of 353, 578, 721, 328 on our page.

3. How to find GCD of 353, 578, 721, 328 on a calculator?

You can find the GCD of 353, 578, 721, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.