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, 282, 41, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 282, 41, 331 is 1
GCD(336, 282, 41, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 282, 41, 331 is 1
GCD(336, 282, 41, 331) = 1
Given Input numbers are 336, 282, 41, 331
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 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 336, 282, 41, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 282, 41, 331 is 1.
Therefore, GCD of numbers 336, 282, 41, 331 is 1
Given Input Data is 336, 282, 41, 331
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 282 is 2 x 3 x 47
Prime Factorization of 41 is 41
Prime Factorization of 331 is 331
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, 282) = 15792
GCD(336, 282) = ( 336 x 282 ) / 15792
GCD(336, 282) = 94752 / 15792
GCD(336, 282) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 41) = 246
GCD(6, 41) = ( 6 x 41 ) / 246
GCD(6, 41) = 246 / 246
GCD(6, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 336, 282, 41, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 282, 41, 331?
GCD of 336, 282, 41, 331 is 1
2. Where do I get the detailed procedure to find GCD of 336, 282, 41, 331?
You can find a detailed procedure to find GCD of 336, 282, 41, 331 on our page.
3. How to find GCD of 336, 282, 41, 331 on a calculator?
You can find the GCD of 336, 282, 41, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.