GCD of 804, 830, 676, 243 Calculator

Given Input numbers are 804, 830, 676, 243

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

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 804, 830, 676, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 830, 676, 243 is 1.

Therefore, GCD of numbers 804, 830, 676, 243 is 1

Given Input Data is 804, 830, 676, 243

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

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(804, 830) = 333660

GCD(804, 830) = ( 804 x 830 ) / 333660

GCD(804, 830) = 667320 / 333660

GCD(804, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 243

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

LCM(2, 243) = 486

GCD(2, 243) = ( 2 x 243 ) / 486

GCD(2, 243) = 486 / 486

GCD(2, 243) = 1

GCD of 804, 830, 676, 243 is 1

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1. What is the GCD of 804, 830, 676, 243?

GCD of 804, 830, 676, 243 is 1

2. Where do I get the detailed procedure to find GCD of 804, 830, 676, 243?

You can find a detailed procedure to find GCD of 804, 830, 676, 243 on our page.

3. How to find GCD of 804, 830, 676, 243 on a calculator?

You can find the GCD of 804, 830, 676, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.