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 333, 352, 42, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 352, 42, 243 is 1
GCD(333, 352, 42, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 352, 42, 243 is 1
GCD(333, 352, 42, 243) = 1
Given Input numbers are 333, 352, 42, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 333, 352, 42, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 352, 42, 243 is 1.
Therefore, GCD of numbers 333, 352, 42, 243 is 1
Given Input Data is 333, 352, 42, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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(333, 352) = 117216
GCD(333, 352) = ( 333 x 352 ) / 117216
GCD(333, 352) = 117216 / 117216
GCD(333, 352) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
GCD of 333, 352, 42, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 352, 42, 243?
GCD of 333, 352, 42, 243 is 1
2. Where do I get the detailed procedure to find GCD of 333, 352, 42, 243?
You can find a detailed procedure to find GCD of 333, 352, 42, 243 on our page.
3. How to find GCD of 333, 352, 42, 243 on a calculator?
You can find the GCD of 333, 352, 42, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.