GCD of 802, 322, 833, 289 Calculator

Given Input numbers are 802, 322, 833, 289

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 802, 322, 833, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 322, 833, 289 is 1.

Therefore, GCD of numbers 802, 322, 833, 289 is 1

Given Input Data is 802, 322, 833, 289

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 833 is 7 x 7 x 17

Prime Factorization of 289 is 17 x 17

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, 322) = 129122

GCD(802, 322) = ( 802 x 322 ) / 129122

GCD(802, 322) = 258244 / 129122

GCD(802, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 833

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

LCM(2, 833) = 1666

GCD(2, 833) = ( 2 x 833 ) / 1666

GCD(2, 833) = 1666 / 1666

GCD(2, 833) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 802, 322, 833, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 554, 410, 695
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• GCD of 755, 894, 988, 408

1. What is the GCD of 802, 322, 833, 289?

GCD of 802, 322, 833, 289 is 1

2. Where do I get the detailed procedure to find GCD of 802, 322, 833, 289?

You can find a detailed procedure to find GCD of 802, 322, 833, 289 on our page.

3. How to find GCD of 802, 322, 833, 289 on a calculator?

You can find the GCD of 802, 322, 833, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.