GCD of 498, 318, 14, 241 Calculator

Given Input numbers are 498, 318, 14, 241

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 498, 318, 14, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 318, 14, 241 is 1.

Therefore, GCD of numbers 498, 318, 14, 241 is 1

Given Input Data is 498, 318, 14, 241

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 14 is 2 x 7

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(498, 318) = 26394

GCD(498, 318) = ( 498 x 318 ) / 26394

GCD(498, 318) = 158364 / 26394

GCD(498, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 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 498, 318, 14, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 333, 14, 229
• GCD of 803, 752, 81, 201
• GCD of 717, 671, 32, 860
• GCD of 918, 583, 98, 785
• GCD of 649, 742, 38, 577

1. What is the GCD of 498, 318, 14, 241?

GCD of 498, 318, 14, 241 is 1

2. Where do I get the detailed procedure to find GCD of 498, 318, 14, 241?

You can find a detailed procedure to find GCD of 498, 318, 14, 241 on our page.

3. How to find GCD of 498, 318, 14, 241 on a calculator?

You can find the GCD of 498, 318, 14, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.