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 871, 982, 372, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 982, 372, 845 is 1
GCD(871, 982, 372, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 982, 372, 845 is 1
GCD(871, 982, 372, 845) = 1
Given Input numbers are 871, 982, 372, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 871, 982, 372, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 982, 372, 845 is 1.
Therefore, GCD of numbers 871, 982, 372, 845 is 1
Given Input Data is 871, 982, 372, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 982 is 2 x 491
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 845 is 5 x 13 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(871, 982) = 855322
GCD(871, 982) = ( 871 x 982 ) / 855322
GCD(871, 982) = 855322 / 855322
GCD(871, 982) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 871, 982, 372, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 982, 372, 845?
GCD of 871, 982, 372, 845 is 1
2. Where do I get the detailed procedure to find GCD of 871, 982, 372, 845?
You can find a detailed procedure to find GCD of 871, 982, 372, 845 on our page.
3. How to find GCD of 871, 982, 372, 845 on a calculator?
You can find the GCD of 871, 982, 372, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.