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, 486, 81, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 486, 81, 299 is 1
GCD(336, 486, 81, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 486, 81, 299 is 1
GCD(336, 486, 81, 299) = 1
Given Input numbers are 336, 486, 81, 299
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 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 336, 486, 81, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 486, 81, 299 is 1.
Therefore, GCD of numbers 336, 486, 81, 299 is 1
Given Input Data is 336, 486, 81, 299
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 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 299 is 13 x 23
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, 486) = 27216
GCD(336, 486) = ( 336 x 486 ) / 27216
GCD(336, 486) = 163296 / 27216
GCD(336, 486) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 81) = 162
GCD(6, 81) = ( 6 x 81 ) / 162
GCD(6, 81) = 486 / 162
GCD(6, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 299) = 897
GCD(3, 299) = ( 3 x 299 ) / 897
GCD(3, 299) = 897 / 897
GCD(3, 299) = 1
GCD of 336, 486, 81, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 486, 81, 299?
GCD of 336, 486, 81, 299 is 1
2. Where do I get the detailed procedure to find GCD of 336, 486, 81, 299?
You can find a detailed procedure to find GCD of 336, 486, 81, 299 on our page.
3. How to find GCD of 336, 486, 81, 299 on a calculator?
You can find the GCD of 336, 486, 81, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.