GCD of 796, 724, 82, 804 Calculator

Given Input numbers are 796, 724, 82, 804

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 796, 724, 82, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 724, 82, 804 is 2.

Therefore, GCD of numbers 796, 724, 82, 804 is 2

Given Input Data is 796, 724, 82, 804

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 82 is 2 x 41

Prime Factorization of 804 is 2 x 2 x 3 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(796, 724) = 144076

GCD(796, 724) = ( 796 x 724 ) / 144076

GCD(796, 724) = 576304 / 144076

GCD(796, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 796, 724, 82, 804 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 640, 666, 97, 737

1. What is the GCD of 796, 724, 82, 804?

GCD of 796, 724, 82, 804 is 2

2. Where do I get the detailed procedure to find GCD of 796, 724, 82, 804?

You can find a detailed procedure to find GCD of 796, 724, 82, 804 on our page.

3. How to find GCD of 796, 724, 82, 804 on a calculator?

You can find the GCD of 796, 724, 82, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.