GCD of 693, 707, 27, 494 Calculator

Given Input numbers are 693, 707, 27, 494

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 494

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

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

Greatest Common Divisior

We found the divisors of 693, 707, 27, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 707, 27, 494 is 1.

Therefore, GCD of numbers 693, 707, 27, 494 is 1

Given Input Data is 693, 707, 27, 494

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 707 is 7 x 101

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 494 is 2 x 13 x 19

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, 707) = 69993

GCD(693, 707) = ( 693 x 707 ) / 69993

GCD(693, 707) = 489951 / 69993

GCD(693, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 27

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

LCM(7, 27) = 189

GCD(7, 27) = ( 7 x 27 ) / 189

GCD(7, 27) = 189 / 189

GCD(7, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 693, 707, 27, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 210, 71, 910
• GCD of 692, 317, 44, 257
• GCD of 579, 601, 30, 911
• GCD of 387, 292, 96, 659
• GCD of 730, 693, 65, 200

1. What is the GCD of 693, 707, 27, 494?

GCD of 693, 707, 27, 494 is 1

2. Where do I get the detailed procedure to find GCD of 693, 707, 27, 494?

You can find a detailed procedure to find GCD of 693, 707, 27, 494 on our page.

3. How to find GCD of 693, 707, 27, 494 on a calculator?

You can find the GCD of 693, 707, 27, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.