GCD of 793, 800, 30, 397 Calculator

Given Input numbers are 793, 800, 30, 397

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 793, 800, 30, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 800, 30, 397 is 1.

Therefore, GCD of numbers 793, 800, 30, 397 is 1

Given Input Data is 793, 800, 30, 397

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

Prime Factorization of 793 is 13 x 61

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 397 is 397

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, 800) = 634400

GCD(793, 800) = ( 793 x 800 ) / 634400

GCD(793, 800) = 634400 / 634400

GCD(793, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 793, 800, 30, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 655, 69, 980
• GCD of 479, 361, 89, 851
• GCD of 152, 492, 55, 551
• GCD of 617, 823, 82, 528
• GCD of 754, 889, 23, 793

1. What is the GCD of 793, 800, 30, 397?

GCD of 793, 800, 30, 397 is 1

2. Where do I get the detailed procedure to find GCD of 793, 800, 30, 397?

You can find a detailed procedure to find GCD of 793, 800, 30, 397 on our page.

3. How to find GCD of 793, 800, 30, 397 on a calculator?

You can find the GCD of 793, 800, 30, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.