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 872, 580, 329, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 872, 580, 329, 847 is 1
GCD(872, 580, 329, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 580, 329, 847 is 1
GCD(872, 580, 329, 847) = 1
Given Input numbers are 872, 580, 329, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 872, 580, 329, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 580, 329, 847 is 1.
Therefore, GCD of numbers 872, 580, 329, 847 is 1
Given Input Data is 872, 580, 329, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 329 is 7 x 47
Prime Factorization of 847 is 7 x 11 x 11
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(872, 580) = 126440
GCD(872, 580) = ( 872 x 580 ) / 126440
GCD(872, 580) = 505760 / 126440
GCD(872, 580) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 329) = 1316
GCD(4, 329) = ( 4 x 329 ) / 1316
GCD(4, 329) = 1316 / 1316
GCD(4, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
GCD of 872, 580, 329, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 580, 329, 847?
GCD of 872, 580, 329, 847 is 1
2. Where do I get the detailed procedure to find GCD of 872, 580, 329, 847?
You can find a detailed procedure to find GCD of 872, 580, 329, 847 on our page.
3. How to find GCD of 872, 580, 329, 847 on a calculator?
You can find the GCD of 872, 580, 329, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.