GCD of 812, 682, 42, 825 Calculator

Given Input numbers are 812, 682, 42, 825

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 42

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

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 812, 682, 42, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 682, 42, 825 is 1.

Therefore, GCD of numbers 812, 682, 42, 825 is 1

Given Input Data is 812, 682, 42, 825

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(812, 682) = 276892

GCD(812, 682) = ( 812 x 682 ) / 276892

GCD(812, 682) = 553784 / 276892

GCD(812, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 812, 682, 42, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 383, 74, 769
• GCD of 288, 134, 41, 208
• GCD of 162, 114, 73, 766
• GCD of 347, 151, 91, 645
• GCD of 870, 323, 69, 561

1. What is the GCD of 812, 682, 42, 825?

GCD of 812, 682, 42, 825 is 1

2. Where do I get the detailed procedure to find GCD of 812, 682, 42, 825?

You can find a detailed procedure to find GCD of 812, 682, 42, 825 on our page.

3. How to find GCD of 812, 682, 42, 825 on a calculator?

You can find the GCD of 812, 682, 42, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.