GCD of 409, 580, 245, 328 Calculator

Given Input numbers are 409, 580, 245, 328

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

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 409, 580, 245, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 580, 245, 328 is 1.

Therefore, GCD of numbers 409, 580, 245, 328 is 1

Given Input Data is 409, 580, 245, 328

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

Prime Factorization of 409 is 409

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 245 is 5 x 7 x 7

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(409, 580) = 237220

GCD(409, 580) = ( 409 x 580 ) / 237220

GCD(409, 580) = 237220 / 237220

GCD(409, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 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 409, 580, 245, 328 is 1

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1. What is the GCD of 409, 580, 245, 328?

GCD of 409, 580, 245, 328 is 1

2. Where do I get the detailed procedure to find GCD of 409, 580, 245, 328?

You can find a detailed procedure to find GCD of 409, 580, 245, 328 on our page.

3. How to find GCD of 409, 580, 245, 328 on a calculator?

You can find the GCD of 409, 580, 245, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.