GCD of 13, 682, 742, 824 Calculator

Given Input numbers are 13, 682, 742, 824

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 13, 682, 742, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 682, 742, 824 is 1.

Therefore, GCD of numbers 13, 682, 742, 824 is 1

Given Input Data is 13, 682, 742, 824

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

Prime Factorization of 13 is 13

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(13, 682) = 8866

GCD(13, 682) = ( 13 x 682 ) / 8866

GCD(13, 682) = 8866 / 8866

GCD(13, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 13, 682, 742, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 489, 405, 113
• GCD of 75, 103, 265, 668
• GCD of 42, 613, 346, 381
• GCD of 26, 475, 418, 563
• GCD of 20, 404, 694, 763

1. What is the GCD of 13, 682, 742, 824?

GCD of 13, 682, 742, 824 is 1

2. Where do I get the detailed procedure to find GCD of 13, 682, 742, 824?

You can find a detailed procedure to find GCD of 13, 682, 742, 824 on our page.

3. How to find GCD of 13, 682, 742, 824 on a calculator?

You can find the GCD of 13, 682, 742, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.