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 986, 586, 30, 842 i.e. 2 largest integer that divides all the numbers equally.
GCD of 986, 586, 30, 842 is 2
GCD(986, 586, 30, 842) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 986, 586, 30, 842 is 2
GCD(986, 586, 30, 842) = 2
Given Input numbers are 986, 586, 30, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 986, 586, 30, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 586, 30, 842 is 2.
Therefore, GCD of numbers 986, 586, 30, 842 is 2
Given Input Data is 986, 586, 30, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 586 is 2 x 293
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 842 is 2 x 421
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(986, 586) = 288898
GCD(986, 586) = ( 986 x 586 ) / 288898
GCD(986, 586) = 577796 / 288898
GCD(986, 586) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
GCD(2, 842) = 1684 / 842
GCD(2, 842) = 2
GCD of 986, 586, 30, 842 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 986, 586, 30, 842?
GCD of 986, 586, 30, 842 is 2
2. Where do I get the detailed procedure to find GCD of 986, 586, 30, 842?
You can find a detailed procedure to find GCD of 986, 586, 30, 842 on our page.
3. How to find GCD of 986, 586, 30, 842 on a calculator?
You can find the GCD of 986, 586, 30, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.