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 387, 919, 133, 198 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 919, 133, 198 is 1
GCD(387, 919, 133, 198) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 919, 133, 198 is 1
GCD(387, 919, 133, 198) = 1
Given Input numbers are 387, 919, 133, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 387, 919, 133, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 919, 133, 198 is 1.
Therefore, GCD of numbers 387, 919, 133, 198 is 1
Given Input Data is 387, 919, 133, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 919 is 919
Prime Factorization of 133 is 7 x 19
Prime Factorization of 198 is 2 x 3 x 3 x 11
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(387, 919) = 355653
GCD(387, 919) = ( 387 x 919 ) / 355653
GCD(387, 919) = 355653 / 355653
GCD(387, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
GCD of 387, 919, 133, 198 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 919, 133, 198?
GCD of 387, 919, 133, 198 is 1
2. Where do I get the detailed procedure to find GCD of 387, 919, 133, 198?
You can find a detailed procedure to find GCD of 387, 919, 133, 198 on our page.
3. How to find GCD of 387, 919, 133, 198 on a calculator?
You can find the GCD of 387, 919, 133, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.