GCD of 495, 828, 83, 289 Calculator

Given Input numbers are 495, 828, 83, 289

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 495, 828, 83, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 828, 83, 289 is 1.

Therefore, GCD of numbers 495, 828, 83, 289 is 1

Given Input Data is 495, 828, 83, 289

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 83 is 83

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(495, 828) = 45540

GCD(495, 828) = ( 495 x 828 ) / 45540

GCD(495, 828) = 409860 / 45540

GCD(495, 828) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 83

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

LCM(9, 83) = 747

GCD(9, 83) = ( 9 x 83 ) / 747

GCD(9, 83) = 747 / 747

GCD(9, 83) = 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 495, 828, 83, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 152, 63, 990
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• GCD of 703, 284, 89, 494

1. What is the GCD of 495, 828, 83, 289?

GCD of 495, 828, 83, 289 is 1

2. Where do I get the detailed procedure to find GCD of 495, 828, 83, 289?

You can find a detailed procedure to find GCD of 495, 828, 83, 289 on our page.

3. How to find GCD of 495, 828, 83, 289 on a calculator?

You can find the GCD of 495, 828, 83, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.