GCD of 363, 694, 14, 492 Calculator

Given Input numbers are 363, 694, 14, 492

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 14

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

1, 2, 7, 14

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 363, 694, 14, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 694, 14, 492 is 1.

Therefore, GCD of numbers 363, 694, 14, 492 is 1

Given Input Data is 363, 694, 14, 492

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 694 is 2 x 347

Prime Factorization of 14 is 2 x 7

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(363, 694) = 251922

GCD(363, 694) = ( 363 x 694 ) / 251922

GCD(363, 694) = 251922 / 251922

GCD(363, 694) = 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 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 363, 694, 14, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 386, 92, 362
• GCD of 202, 522, 61, 535
• GCD of 555, 603, 52, 589
• GCD of 996, 541, 81, 296
• GCD of 574, 414, 46, 614

1. What is the GCD of 363, 694, 14, 492?

GCD of 363, 694, 14, 492 is 1

2. Where do I get the detailed procedure to find GCD of 363, 694, 14, 492?

You can find a detailed procedure to find GCD of 363, 694, 14, 492 on our page.

3. How to find GCD of 363, 694, 14, 492 on a calculator?

You can find the GCD of 363, 694, 14, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.