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 336, 903, 52, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 903, 52, 564 is 1
GCD(336, 903, 52, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 903, 52, 564 is 1
GCD(336, 903, 52, 564) = 1
Given Input numbers are 336, 903, 52, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 336, 903, 52, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 903, 52, 564 is 1.
Therefore, GCD of numbers 336, 903, 52, 564 is 1
Given Input Data is 336, 903, 52, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 564 is 2 x 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
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(336, 903) = 14448
GCD(336, 903) = ( 336 x 903 ) / 14448
GCD(336, 903) = 303408 / 14448
GCD(336, 903) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 52) = 1092
GCD(21, 52) = ( 21 x 52 ) / 1092
GCD(21, 52) = 1092 / 1092
GCD(21, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 336, 903, 52, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 903, 52, 564?
GCD of 336, 903, 52, 564 is 1
2. Where do I get the detailed procedure to find GCD of 336, 903, 52, 564?
You can find a detailed procedure to find GCD of 336, 903, 52, 564 on our page.
3. How to find GCD of 336, 903, 52, 564 on a calculator?
You can find the GCD of 336, 903, 52, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.