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 52, 810, 396, 368 i.e. 2 largest integer that divides all the numbers equally.
GCD of 52, 810, 396, 368 is 2
GCD(52, 810, 396, 368) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 810, 396, 368 is 2
GCD(52, 810, 396, 368) = 2
Given Input numbers are 52, 810, 396, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
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 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 52, 810, 396, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 810, 396, 368 is 2.
Therefore, GCD of numbers 52, 810, 396, 368 is 2
Given Input Data is 52, 810, 396, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(52, 810) = 21060
GCD(52, 810) = ( 52 x 810 ) / 21060
GCD(52, 810) = 42120 / 21060
GCD(52, 810) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
GCD(2, 396) = 792 / 396
GCD(2, 396) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
GCD(2, 368) = 736 / 368
GCD(2, 368) = 2
GCD of 52, 810, 396, 368 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 810, 396, 368?
GCD of 52, 810, 396, 368 is 2
2. Where do I get the detailed procedure to find GCD of 52, 810, 396, 368?
You can find a detailed procedure to find GCD of 52, 810, 396, 368 on our page.
3. How to find GCD of 52, 810, 396, 368 on a calculator?
You can find the GCD of 52, 810, 396, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.