GCD of 882, 808, 91, 459 Calculator

Given Input numbers are 882, 808, 91, 459

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 882, 808, 91, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 808, 91, 459 is 1.

Therefore, GCD of numbers 882, 808, 91, 459 is 1

Given Input Data is 882, 808, 91, 459

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 91 is 7 x 13

Prime Factorization of 459 is 3 x 3 x 3 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(882, 808) = 356328

GCD(882, 808) = ( 882 x 808 ) / 356328

GCD(882, 808) = 712656 / 356328

GCD(882, 808) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 882, 808, 91, 459 is 1

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1. What is the GCD of 882, 808, 91, 459?

GCD of 882, 808, 91, 459 is 1

2. Where do I get the detailed procedure to find GCD of 882, 808, 91, 459?

You can find a detailed procedure to find GCD of 882, 808, 91, 459 on our page.

3. How to find GCD of 882, 808, 91, 459 on a calculator?

You can find the GCD of 882, 808, 91, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.