GCD of 793, 789, 409, 414 Calculator

Given Input numbers are 793, 789, 409, 414

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

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 789

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

1, 3, 263, 789

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 793, 789, 409, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 789, 409, 414 is 1.

Therefore, GCD of numbers 793, 789, 409, 414 is 1

Given Input Data is 793, 789, 409, 414

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

Prime Factorization of 793 is 13 x 61

Prime Factorization of 789 is 3 x 263

Prime Factorization of 409 is 409

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(793, 789) = 625677

GCD(793, 789) = ( 793 x 789 ) / 625677

GCD(793, 789) = 625677 / 625677

GCD(793, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 793, 789, 409, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 521, 621, 241
• GCD of 526, 827, 970, 405
• GCD of 841, 250, 831, 648
• GCD of 279, 727, 950, 633
• GCD of 165, 617, 957, 804

1. What is the GCD of 793, 789, 409, 414?

GCD of 793, 789, 409, 414 is 1

2. Where do I get the detailed procedure to find GCD of 793, 789, 409, 414?

You can find a detailed procedure to find GCD of 793, 789, 409, 414 on our page.

3. How to find GCD of 793, 789, 409, 414 on a calculator?

You can find the GCD of 793, 789, 409, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.