GCD of 384, 514, 10, 241 Calculator

Given Input numbers are 384, 514, 10, 241

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 241

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

1, 241

Greatest Common Divisior

We found the divisors of 384, 514, 10, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 514, 10, 241 is 1.

Therefore, GCD of numbers 384, 514, 10, 241 is 1

Given Input Data is 384, 514, 10, 241

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 514 is 2 x 257

Prime Factorization of 10 is 2 x 5

Prime Factorization of 241 is 241

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(384, 514) = 98688

GCD(384, 514) = ( 384 x 514 ) / 98688

GCD(384, 514) = 197376 / 98688

GCD(384, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 241

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

LCM(2, 241) = 482

GCD(2, 241) = ( 2 x 241 ) / 482

GCD(2, 241) = 482 / 482

GCD(2, 241) = 1

GCD of 384, 514, 10, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 288, 67, 498
• GCD of 222, 679, 30, 100
• GCD of 363, 807, 45, 498
• GCD of 477, 981, 38, 226
• GCD of 310, 575, 85, 509

1. What is the GCD of 384, 514, 10, 241?

GCD of 384, 514, 10, 241 is 1

2. Where do I get the detailed procedure to find GCD of 384, 514, 10, 241?

You can find a detailed procedure to find GCD of 384, 514, 10, 241 on our page.

3. How to find GCD of 384, 514, 10, 241 on a calculator?

You can find the GCD of 384, 514, 10, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.