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 982, 831, 522, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 831, 522, 861 is 1
GCD(982, 831, 522, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 831, 522, 861 is 1
GCD(982, 831, 522, 861) = 1
Given Input numbers are 982, 831, 522, 861
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 982, 831, 522, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 831, 522, 861 is 1.
Therefore, GCD of numbers 982, 831, 522, 861 is 1
Given Input Data is 982, 831, 522, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 831 is 3 x 277
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 861 is 3 x 7 x 41
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(982, 831) = 816042
GCD(982, 831) = ( 982 x 831 ) / 816042
GCD(982, 831) = 816042 / 816042
GCD(982, 831) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 982, 831, 522, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 831, 522, 861?
GCD of 982, 831, 522, 861 is 1
2. Where do I get the detailed procedure to find GCD of 982, 831, 522, 861?
You can find a detailed procedure to find GCD of 982, 831, 522, 861 on our page.
3. How to find GCD of 982, 831, 522, 861 on a calculator?
You can find the GCD of 982, 831, 522, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.