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 133, 209, 159, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 209, 159, 838 is 1
GCD(133, 209, 159, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 209, 159, 838 is 1
GCD(133, 209, 159, 838) = 1
Given Input numbers are 133, 209, 159, 838
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 133, 209, 159, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 209, 159, 838 is 1.
Therefore, GCD of numbers 133, 209, 159, 838 is 1
Given Input Data is 133, 209, 159, 838
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 209 is 11 x 19
Prime Factorization of 159 is 3 x 53
Prime Factorization of 838 is 2 x 419
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(133, 209) = 1463
GCD(133, 209) = ( 133 x 209 ) / 1463
GCD(133, 209) = 27797 / 1463
GCD(133, 209) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 159) = 3021
GCD(19, 159) = ( 19 x 159 ) / 3021
GCD(19, 159) = 3021 / 3021
GCD(19, 159) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 133, 209, 159, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 209, 159, 838?
GCD of 133, 209, 159, 838 is 1
2. Where do I get the detailed procedure to find GCD of 133, 209, 159, 838?
You can find a detailed procedure to find GCD of 133, 209, 159, 838 on our page.
3. How to find GCD of 133, 209, 159, 838 on a calculator?
You can find the GCD of 133, 209, 159, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.