GCD of 396, 648, 164 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 396, 648, 164 i.e. 4 largest integer that divides all the numbers equally.
GCD of 396, 648, 164 is 4
GCD(396, 648, 164) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 648, 164 is 4
GCD(396, 648, 164) = 4
GCDof 396,648,164 is 4
Given Input numbers are 396, 648, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 396, 648, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 648, 164 is 4.
Therefore, GCD of numbers 396, 648, 164 is 4
Given Input Data is 396, 648, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 164 is 2 x 2 x 41
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 396, 648, 164 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(396, 648) = 7128
GCD(396, 648) = ( 396 x 648 ) / 7128
GCD(396, 648) = 256608 / 7128
GCD(396, 648) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 164) = 1476
GCD(36, 164) = ( 36 x 164 ) / 1476
GCD(36, 164) = 5904 / 1476
GCD(36, 164) = 4
GCD of 396, 648, 164 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 396, 648, 164
1. What is the GCD of 396, 648, 164?
GCD of 396, 648, 164 is 4
2. Where do I get the detailed procedure to find GCD of 396, 648, 164?
You can find a detailed procedure to find GCD of 396, 648, 164 on our page.
3. How to find GCD of 396, 648, 164 on a calculator?
You can find the GCD of 396, 648, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.