GCD of 328, 105, 290, 249 Calculator

Given Input numbers are 328, 105, 290, 249

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

Divisors of 328

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

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 328, 105, 290, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 105, 290, 249 is 1.

Therefore, GCD of numbers 328, 105, 290, 249 is 1

Given Input Data is 328, 105, 290, 249

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

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 249 is 3 x 83

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(328, 105) = 34440

GCD(328, 105) = ( 328 x 105 ) / 34440

GCD(328, 105) = 34440 / 34440

GCD(328, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 328, 105, 290, 249 is 1

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• GCD of 824, 785, 352, 393
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• GCD of 639, 675, 378, 563

1. What is the GCD of 328, 105, 290, 249?

GCD of 328, 105, 290, 249 is 1

2. Where do I get the detailed procedure to find GCD of 328, 105, 290, 249?

You can find a detailed procedure to find GCD of 328, 105, 290, 249 on our page.

3. How to find GCD of 328, 105, 290, 249 on a calculator?

You can find the GCD of 328, 105, 290, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.