GCD of 493, 214, 18, 503 Calculator

Given Input numbers are 493, 214, 18, 503

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 493, 214, 18, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 214, 18, 503 is 1.

Therefore, GCD of numbers 493, 214, 18, 503 is 1

Given Input Data is 493, 214, 18, 503

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 214 is 2 x 107

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 503 is 503

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(493, 214) = 105502

GCD(493, 214) = ( 493 x 214 ) / 105502

GCD(493, 214) = 105502 / 105502

GCD(493, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 493, 214, 18, 503 is 1

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• GCD of 489, 271, 59, 457
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1. What is the GCD of 493, 214, 18, 503?

GCD of 493, 214, 18, 503 is 1

2. Where do I get the detailed procedure to find GCD of 493, 214, 18, 503?

You can find a detailed procedure to find GCD of 493, 214, 18, 503 on our page.

3. How to find GCD of 493, 214, 18, 503 on a calculator?

You can find the GCD of 493, 214, 18, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.