GCD of 499, 361, 14, 586 Calculator

Given Input numbers are 499, 361, 14, 586

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 14

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

1, 2, 7, 14

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 499, 361, 14, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 361, 14, 586 is 1.

Therefore, GCD of numbers 499, 361, 14, 586 is 1

Given Input Data is 499, 361, 14, 586

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

Prime Factorization of 499 is 499

Prime Factorization of 361 is 19 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 586 is 2 x 293

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(499, 361) = 180139

GCD(499, 361) = ( 499 x 361 ) / 180139

GCD(499, 361) = 180139 / 180139

GCD(499, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 499, 361, 14, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 703, 93, 437
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• GCD of 884, 132, 18, 865
• GCD of 176, 536, 47, 938
• GCD of 308, 752, 55, 327

1. What is the GCD of 499, 361, 14, 586?

GCD of 499, 361, 14, 586 is 1

2. Where do I get the detailed procedure to find GCD of 499, 361, 14, 586?

You can find a detailed procedure to find GCD of 499, 361, 14, 586 on our page.

3. How to find GCD of 499, 361, 14, 586 on a calculator?

You can find the GCD of 499, 361, 14, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.