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 80, 879, 344, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 879, 344, 819 is 1
GCD(80, 879, 344, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 879, 344, 819 is 1
GCD(80, 879, 344, 819) = 1
Given Input numbers are 80, 879, 344, 819
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 80, 879, 344, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 879, 344, 819 is 1.
Therefore, GCD of numbers 80, 879, 344, 819 is 1
Given Input Data is 80, 879, 344, 819
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 879 is 3 x 293
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 819 is 3 x 3 x 7 x 13
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(80, 879) = 70320
GCD(80, 879) = ( 80 x 879 ) / 70320
GCD(80, 879) = 70320 / 70320
GCD(80, 879) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 819) = 819
GCD(1, 819) = ( 1 x 819 ) / 819
GCD(1, 819) = 819 / 819
GCD(1, 819) = 1
GCD of 80, 879, 344, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 879, 344, 819?
GCD of 80, 879, 344, 819 is 1
2. Where do I get the detailed procedure to find GCD of 80, 879, 344, 819?
You can find a detailed procedure to find GCD of 80, 879, 344, 819 on our page.
3. How to find GCD of 80, 879, 344, 819 on a calculator?
You can find the GCD of 80, 879, 344, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.