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 324, 982, 676, 164 i.e. 2 largest integer that divides all the numbers equally.
GCD of 324, 982, 676, 164 is 2
GCD(324, 982, 676, 164) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 982, 676, 164 is 2
GCD(324, 982, 676, 164) = 2
Given Input numbers are 324, 982, 676, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 324, 982, 676, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 982, 676, 164 is 2.
Therefore, GCD of numbers 324, 982, 676, 164 is 2
Given Input Data is 324, 982, 676, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 982 is 2 x 491
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 164 is 2 x 2 x 41
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(324, 982) = 159084
GCD(324, 982) = ( 324 x 982 ) / 159084
GCD(324, 982) = 318168 / 159084
GCD(324, 982) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
GCD(2, 676) = 1352 / 676
GCD(2, 676) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
GCD(2, 164) = 328 / 164
GCD(2, 164) = 2
GCD of 324, 982, 676, 164 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 982, 676, 164?
GCD of 324, 982, 676, 164 is 2
2. Where do I get the detailed procedure to find GCD of 324, 982, 676, 164?
You can find a detailed procedure to find GCD of 324, 982, 676, 164 on our page.
3. How to find GCD of 324, 982, 676, 164 on a calculator?
You can find the GCD of 324, 982, 676, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.