GCD of 342, 789, 618, 806 Calculator

Given Input numbers are 342, 789, 618, 806

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 789

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

1, 3, 263, 789

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 342, 789, 618, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 789, 618, 806 is 1.

Therefore, GCD of numbers 342, 789, 618, 806 is 1

Given Input Data is 342, 789, 618, 806

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 789 is 3 x 263

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 806 is 2 x 13 x 31

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(342, 789) = 89946

GCD(342, 789) = ( 342 x 789 ) / 89946

GCD(342, 789) = 269838 / 89946

GCD(342, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 618

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

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

GCD(3, 618) = 1854 / 618

GCD(3, 618) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 806

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

LCM(3, 806) = 2418

GCD(3, 806) = ( 3 x 806 ) / 2418

GCD(3, 806) = 2418 / 2418

GCD(3, 806) = 1

GCD of 342, 789, 618, 806 is 1

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1. What is the GCD of 342, 789, 618, 806?

GCD of 342, 789, 618, 806 is 1

2. Where do I get the detailed procedure to find GCD of 342, 789, 618, 806?

You can find a detailed procedure to find GCD of 342, 789, 618, 806 on our page.

3. How to find GCD of 342, 789, 618, 806 on a calculator?

You can find the GCD of 342, 789, 618, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.