GCD of 108, 344, 986 Calculator
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 108, 344, 986 i.e. 2 largest integer that divides all the numbers equally.
GCD of 108, 344, 986 is 2
GCD(108, 344, 986) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 344, 986 is 2
GCD(108, 344, 986) = 2
GCDof 108,344,986 is 2
Given Input numbers are 108, 344, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
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 108, 344, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 344, 986 is 2.
Therefore, GCD of numbers 108, 344, 986 is 2
Given Input Data is 108, 344, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 344 is 2 x 2 x 2 x 43
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
Finding GCD of 108, 344, 986 using LCM Formula
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(108, 344) = 9288
GCD(108, 344) = ( 108 x 344 ) / 9288
GCD(108, 344) = 37152 / 9288
GCD(108, 344) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 986) = 1972
GCD(4, 986) = ( 4 x 986 ) / 1972
GCD(4, 986) = 3944 / 1972
GCD(4, 986) = 2
GCD of 108, 344, 986 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 108, 344, 986
1. What is the GCD of 108, 344, 986?
GCD of 108, 344, 986 is 2
2. Where do I get the detailed procedure to find GCD of 108, 344, 986?
You can find a detailed procedure to find GCD of 108, 344, 986 on our page.
3. How to find GCD of 108, 344, 986 on a calculator?
You can find the GCD of 108, 344, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.