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, 195, 50 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 195, 50 is 1
GCD(336, 195, 50) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 195, 50 is 1
GCD(336, 195, 50) = 1
Given Input numbers are 336, 195, 50
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 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Greatest Common Divisior
We found the divisors of 336, 195, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 195, 50 is 1.
Therefore, GCD of numbers 336, 195, 50 is 1
Given Input Data is 336, 195, 50
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 195 is 3 x 5 x 13
Prime Factorization of 50 is 2 x 5 x 5
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, 195) = 21840
GCD(336, 195) = ( 336 x 195 ) / 21840
GCD(336, 195) = 65520 / 21840
GCD(336, 195) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 50) = 150
GCD(3, 50) = ( 3 x 50 ) / 150
GCD(3, 50) = 150 / 150
GCD(3, 50) = 1
GCD of 336, 195, 50 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 195, 50?
GCD of 336, 195, 50 is 1
2. Where do I get the detailed procedure to find GCD of 336, 195, 50?
You can find a detailed procedure to find GCD of 336, 195, 50 on our page.
3. How to find GCD of 336, 195, 50 on a calculator?
You can find the GCD of 336, 195, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.