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 791, 476, 33, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 476, 33, 918 is 1
GCD(791, 476, 33, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 476, 33, 918 is 1
GCD(791, 476, 33, 918) = 1
Given Input numbers are 791, 476, 33, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 791, 476, 33, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 476, 33, 918 is 1.
Therefore, GCD of numbers 791, 476, 33, 918 is 1
Given Input Data is 791, 476, 33, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 33 is 3 x 11
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(791, 476) = 53788
GCD(791, 476) = ( 791 x 476 ) / 53788
GCD(791, 476) = 376516 / 53788
GCD(791, 476) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 33) = 231
GCD(7, 33) = ( 7 x 33 ) / 231
GCD(7, 33) = 231 / 231
GCD(7, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 791, 476, 33, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 476, 33, 918?
GCD of 791, 476, 33, 918 is 1
2. Where do I get the detailed procedure to find GCD of 791, 476, 33, 918?
You can find a detailed procedure to find GCD of 791, 476, 33, 918 on our page.
3. How to find GCD of 791, 476, 33, 918 on a calculator?
You can find the GCD of 791, 476, 33, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.