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, 187, 31, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 187, 31, 793 is 1
GCD(133, 187, 31, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 187, 31, 793 is 1
GCD(133, 187, 31, 793) = 1
Given Input numbers are 133, 187, 31, 793
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 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 133, 187, 31, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 187, 31, 793 is 1.
Therefore, GCD of numbers 133, 187, 31, 793 is 1
Given Input Data is 133, 187, 31, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 187 is 11 x 17
Prime Factorization of 31 is 31
Prime Factorization of 793 is 13 x 61
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, 187) = 24871
GCD(133, 187) = ( 133 x 187 ) / 24871
GCD(133, 187) = 24871 / 24871
GCD(133, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 793) = 793
GCD(1, 793) = ( 1 x 793 ) / 793
GCD(1, 793) = 793 / 793
GCD(1, 793) = 1
GCD of 133, 187, 31, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 187, 31, 793?
GCD of 133, 187, 31, 793 is 1
2. Where do I get the detailed procedure to find GCD of 133, 187, 31, 793?
You can find a detailed procedure to find GCD of 133, 187, 31, 793 on our page.
3. How to find GCD of 133, 187, 31, 793 on a calculator?
You can find the GCD of 133, 187, 31, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.