GCD of 696, 813, 42, 814 Calculator

Given Input numbers are 696, 813, 42, 814

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 696, 813, 42, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 813, 42, 814 is 1.

Therefore, GCD of numbers 696, 813, 42, 814 is 1

Given Input Data is 696, 813, 42, 814

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 813 is 3 x 271

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 814 is 2 x 11 x 37

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(696, 813) = 188616

GCD(696, 813) = ( 696 x 813 ) / 188616

GCD(696, 813) = 565848 / 188616

GCD(696, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 814

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

LCM(3, 814) = 2442

GCD(3, 814) = ( 3 x 814 ) / 2442

GCD(3, 814) = 2442 / 2442

GCD(3, 814) = 1

GCD of 696, 813, 42, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 100, 95, 568
• GCD of 703, 230, 49, 202
• GCD of 324, 266, 64, 470
• GCD of 201, 860, 90, 619
• GCD of 643, 245, 12, 586

1. What is the GCD of 696, 813, 42, 814?

GCD of 696, 813, 42, 814 is 1

2. Where do I get the detailed procedure to find GCD of 696, 813, 42, 814?

You can find a detailed procedure to find GCD of 696, 813, 42, 814 on our page.

3. How to find GCD of 696, 813, 42, 814 on a calculator?

You can find the GCD of 696, 813, 42, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.