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, 214, 36, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 214, 36, 855 is 1
GCD(336, 214, 36, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 214, 36, 855 is 1
GCD(336, 214, 36, 855) = 1
Given Input numbers are 336, 214, 36, 855
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 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 336, 214, 36, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 214, 36, 855 is 1.
Therefore, GCD of numbers 336, 214, 36, 855 is 1
Given Input Data is 336, 214, 36, 855
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 214 is 2 x 107
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 855 is 3 x 3 x 5 x 19
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, 214) = 35952
GCD(336, 214) = ( 336 x 214 ) / 35952
GCD(336, 214) = 71904 / 35952
GCD(336, 214) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 855) = 1710
GCD(2, 855) = ( 2 x 855 ) / 1710
GCD(2, 855) = 1710 / 1710
GCD(2, 855) = 1
GCD of 336, 214, 36, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 214, 36, 855?
GCD of 336, 214, 36, 855 is 1
2. Where do I get the detailed procedure to find GCD of 336, 214, 36, 855?
You can find a detailed procedure to find GCD of 336, 214, 36, 855 on our page.
3. How to find GCD of 336, 214, 36, 855 on a calculator?
You can find the GCD of 336, 214, 36, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.