GCD of 794, 300, 802, 813 Calculator

Given Input numbers are 794, 300, 802, 813

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 794, 300, 802, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 300, 802, 813 is 1.

Therefore, GCD of numbers 794, 300, 802, 813 is 1

Given Input Data is 794, 300, 802, 813

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 802 is 2 x 401

Prime Factorization of 813 is 3 x 271

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(794, 300) = 119100

GCD(794, 300) = ( 794 x 300 ) / 119100

GCD(794, 300) = 238200 / 119100

GCD(794, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

GCD of 794, 300, 802, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 159, 861, 929
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1. What is the GCD of 794, 300, 802, 813?

GCD of 794, 300, 802, 813 is 1

2. Where do I get the detailed procedure to find GCD of 794, 300, 802, 813?

You can find a detailed procedure to find GCD of 794, 300, 802, 813 on our page.

3. How to find GCD of 794, 300, 802, 813 on a calculator?

You can find the GCD of 794, 300, 802, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.