GCD of 802, 472, 232, 581 Calculator

Given Input numbers are 802, 472, 232, 581

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

Divisors of 802

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

1, 2, 401, 802

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 802, 472, 232, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 472, 232, 581 is 1.

Therefore, GCD of numbers 802, 472, 232, 581 is 1

Given Input Data is 802, 472, 232, 581

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 581 is 7 x 83

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(802, 472) = 189272

GCD(802, 472) = ( 802 x 472 ) / 189272

GCD(802, 472) = 378544 / 189272

GCD(802, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

GCD of 802, 472, 232, 581 is 1

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1. What is the GCD of 802, 472, 232, 581?

GCD of 802, 472, 232, 581 is 1

2. Where do I get the detailed procedure to find GCD of 802, 472, 232, 581?

You can find a detailed procedure to find GCD of 802, 472, 232, 581 on our page.

3. How to find GCD of 802, 472, 232, 581 on a calculator?

You can find the GCD of 802, 472, 232, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.