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 930, 636, 986 i.e. 2 largest integer that divides all the numbers equally.
GCD of 930, 636, 986 is 2
GCD(930, 636, 986) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 636, 986 is 2
GCD(930, 636, 986) = 2
Given Input numbers are 930, 636, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 930, 636, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 636, 986 is 2.
Therefore, GCD of numbers 930, 636, 986 is 2
Given Input Data is 930, 636, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 986 is 2 x 17 x 29
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(930, 636) = 98580
GCD(930, 636) = ( 930 x 636 ) / 98580
GCD(930, 636) = 591480 / 98580
GCD(930, 636) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 986) = 2958
GCD(6, 986) = ( 6 x 986 ) / 2958
GCD(6, 986) = 5916 / 2958
GCD(6, 986) = 2
GCD of 930, 636, 986 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 636, 986?
GCD of 930, 636, 986 is 2
2. Where do I get the detailed procedure to find GCD of 930, 636, 986?
You can find a detailed procedure to find GCD of 930, 636, 986 on our page.
3. How to find GCD of 930, 636, 986 on a calculator?
You can find the GCD of 930, 636, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.