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, 983, 75 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 983, 75 is 1
GCD(133, 983, 75) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 983, 75 is 1
GCD(133, 983, 75) = 1
Given Input numbers are 133, 983, 75
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 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Greatest Common Divisior
We found the divisors of 133, 983, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 983, 75 is 1.
Therefore, GCD of numbers 133, 983, 75 is 1
Given Input Data is 133, 983, 75
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 983 is 983
Prime Factorization of 75 is 3 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(133, 983) = 130739
GCD(133, 983) = ( 133 x 983 ) / 130739
GCD(133, 983) = 130739 / 130739
GCD(133, 983) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
GCD of 133, 983, 75 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 983, 75?
GCD of 133, 983, 75 is 1
2. Where do I get the detailed procedure to find GCD of 133, 983, 75?
You can find a detailed procedure to find GCD of 133, 983, 75 on our page.
3. How to find GCD of 133, 983, 75 on a calculator?
You can find the GCD of 133, 983, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.