GCD of 241, 905, 15, 404 Calculator

Given Input numbers are 241, 905, 15, 404

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

Divisors of 241

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

1, 241

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 241, 905, 15, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 905, 15, 404 is 1.

Therefore, GCD of numbers 241, 905, 15, 404 is 1

Given Input Data is 241, 905, 15, 404

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

Prime Factorization of 241 is 241

Prime Factorization of 905 is 5 x 181

Prime Factorization of 15 is 3 x 5

Prime Factorization of 404 is 2 x 2 x 101

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(241, 905) = 218105

GCD(241, 905) = ( 241 x 905 ) / 218105

GCD(241, 905) = 218105 / 218105

GCD(241, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 241, 905, 15, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 194, 38, 647
• GCD of 128, 314, 36, 151
• GCD of 502, 139, 53, 846
• GCD of 728, 886, 10, 393
• GCD of 772, 558, 26, 194

1. What is the GCD of 241, 905, 15, 404?

GCD of 241, 905, 15, 404 is 1

2. Where do I get the detailed procedure to find GCD of 241, 905, 15, 404?

You can find a detailed procedure to find GCD of 241, 905, 15, 404 on our page.

3. How to find GCD of 241, 905, 15, 404 on a calculator?

You can find the GCD of 241, 905, 15, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.