GCD of 578, 721, 396, 341 Calculator

Given Input numbers are 578, 721, 396, 341

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

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 578, 721, 396, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 721, 396, 341 is 1.

Therefore, GCD of numbers 578, 721, 396, 341 is 1

Given Input Data is 578, 721, 396, 341

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 721 is 7 x 103

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 341 is 11 x 31

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(578, 721) = 416738

GCD(578, 721) = ( 578 x 721 ) / 416738

GCD(578, 721) = 416738 / 416738

GCD(578, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 578, 721, 396, 341 is 1

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1. What is the GCD of 578, 721, 396, 341?

GCD of 578, 721, 396, 341 is 1

2. Where do I get the detailed procedure to find GCD of 578, 721, 396, 341?

You can find a detailed procedure to find GCD of 578, 721, 396, 341 on our page.

3. How to find GCD of 578, 721, 396, 341 on a calculator?

You can find the GCD of 578, 721, 396, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.