GCD of 693, 494, 18, 817 Calculator

Given Input numbers are 693, 494, 18, 817

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 693, 494, 18, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 494, 18, 817 is 1.

Therefore, GCD of numbers 693, 494, 18, 817 is 1

Given Input Data is 693, 494, 18, 817

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 817 is 19 x 43

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(693, 494) = 342342

GCD(693, 494) = ( 693 x 494 ) / 342342

GCD(693, 494) = 342342 / 342342

GCD(693, 494) = 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 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 693, 494, 18, 817 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 139, 25, 694
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• GCD of 610, 538, 32, 869
• GCD of 337, 762, 63, 670

1. What is the GCD of 693, 494, 18, 817?

GCD of 693, 494, 18, 817 is 1

2. Where do I get the detailed procedure to find GCD of 693, 494, 18, 817?

You can find a detailed procedure to find GCD of 693, 494, 18, 817 on our page.

3. How to find GCD of 693, 494, 18, 817 on a calculator?

You can find the GCD of 693, 494, 18, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.