GCD of 882, 723, 329, 398 Calculator

Given Input numbers are 882, 723, 329, 398

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 882, 723, 329, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 723, 329, 398 is 1.

Therefore, GCD of numbers 882, 723, 329, 398 is 1

Given Input Data is 882, 723, 329, 398

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 723 is 3 x 241

Prime Factorization of 329 is 7 x 47

Prime Factorization of 398 is 2 x 199

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, 723) = 212562

GCD(882, 723) = ( 882 x 723 ) / 212562

GCD(882, 723) = 637686 / 212562

GCD(882, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 329

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

LCM(3, 329) = 987

GCD(3, 329) = ( 3 x 329 ) / 987

GCD(3, 329) = 987 / 987

GCD(3, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 882, 723, 329, 398 is 1

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1. What is the GCD of 882, 723, 329, 398?

GCD of 882, 723, 329, 398 is 1

2. Where do I get the detailed procedure to find GCD of 882, 723, 329, 398?

You can find a detailed procedure to find GCD of 882, 723, 329, 398 on our page.

3. How to find GCD of 882, 723, 329, 398 on a calculator?

You can find the GCD of 882, 723, 329, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.