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, 903, 76, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 903, 76, 243 is 1
GCD(133, 903, 76, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 903, 76, 243 is 1
GCD(133, 903, 76, 243) = 1
Given Input numbers are 133, 903, 76, 243
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 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 133, 903, 76, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 903, 76, 243 is 1.
Therefore, GCD of numbers 133, 903, 76, 243 is 1
Given Input Data is 133, 903, 76, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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, 903) = 17157
GCD(133, 903) = ( 133 x 903 ) / 17157
GCD(133, 903) = 120099 / 17157
GCD(133, 903) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 76) = 532
GCD(7, 76) = ( 7 x 76 ) / 532
GCD(7, 76) = 532 / 532
GCD(7, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
GCD of 133, 903, 76, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 903, 76, 243?
GCD of 133, 903, 76, 243 is 1
2. Where do I get the detailed procedure to find GCD of 133, 903, 76, 243?
You can find a detailed procedure to find GCD of 133, 903, 76, 243 on our page.
3. How to find GCD of 133, 903, 76, 243 on a calculator?
You can find the GCD of 133, 903, 76, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.