GCD of 815, 789, 42, 294 Calculator

Given Input numbers are 815, 789, 42, 294

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

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 815, 789, 42, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 789, 42, 294 is 1.

Therefore, GCD of numbers 815, 789, 42, 294 is 1

Given Input Data is 815, 789, 42, 294

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

Prime Factorization of 815 is 5 x 163

Prime Factorization of 789 is 3 x 263

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(815, 789) = 643035

GCD(815, 789) = ( 815 x 789 ) / 643035

GCD(815, 789) = 643035 / 643035

GCD(815, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 815, 789, 42, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 437, 56, 971
• GCD of 290, 185, 88, 436
• GCD of 472, 815, 35, 594
• GCD of 457, 599, 30, 983
• GCD of 240, 483, 69, 306

1. What is the GCD of 815, 789, 42, 294?

GCD of 815, 789, 42, 294 is 1

2. Where do I get the detailed procedure to find GCD of 815, 789, 42, 294?

You can find a detailed procedure to find GCD of 815, 789, 42, 294 on our page.

3. How to find GCD of 815, 789, 42, 294 on a calculator?

You can find the GCD of 815, 789, 42, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.