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, 878, 99, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 878, 99, 296 is 1
GCD(133, 878, 99, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 878, 99, 296 is 1
GCD(133, 878, 99, 296) = 1
Given Input numbers are 133, 878, 99, 296
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 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 133, 878, 99, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 878, 99, 296 is 1.
Therefore, GCD of numbers 133, 878, 99, 296 is 1
Given Input Data is 133, 878, 99, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 878 is 2 x 439
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 296 is 2 x 2 x 2 x 37
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, 878) = 116774
GCD(133, 878) = ( 133 x 878 ) / 116774
GCD(133, 878) = 116774 / 116774
GCD(133, 878) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 133, 878, 99, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 878, 99, 296?
GCD of 133, 878, 99, 296 is 1
2. Where do I get the detailed procedure to find GCD of 133, 878, 99, 296?
You can find a detailed procedure to find GCD of 133, 878, 99, 296 on our page.
3. How to find GCD of 133, 878, 99, 296 on a calculator?
You can find the GCD of 133, 878, 99, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.