GCD of 882, 280, 81, 344 Calculator

Given Input numbers are 882, 280, 81, 344

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 882, 280, 81, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 280, 81, 344 is 1.

Therefore, GCD of numbers 882, 280, 81, 344 is 1

Given Input Data is 882, 280, 81, 344

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 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 280) = 17640

GCD(882, 280) = ( 882 x 280 ) / 17640

GCD(882, 280) = 246960 / 17640

GCD(882, 280) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 81

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

LCM(14, 81) = 1134

GCD(14, 81) = ( 14 x 81 ) / 1134

GCD(14, 81) = 1134 / 1134

GCD(14, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 882, 280, 81, 344 is 1

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1. What is the GCD of 882, 280, 81, 344?

GCD of 882, 280, 81, 344 is 1

2. Where do I get the detailed procedure to find GCD of 882, 280, 81, 344?

You can find a detailed procedure to find GCD of 882, 280, 81, 344 on our page.

3. How to find GCD of 882, 280, 81, 344 on a calculator?

You can find the GCD of 882, 280, 81, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.