Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 882, 280, 81, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 280, 81, 344 is 1
GCD(882, 280, 81, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 280, 81, 344 is 1
GCD(882, 280, 81, 344) = 1
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
Here are some samples of GCD of Numbers calculations.
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.