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 792, 889, 33, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 889, 33, 835 is 1
GCD(792, 889, 33, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 889, 33, 835 is 1
GCD(792, 889, 33, 835) = 1
Given Input numbers are 792, 889, 33, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 792, 889, 33, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 889, 33, 835 is 1.
Therefore, GCD of numbers 792, 889, 33, 835 is 1
Given Input Data is 792, 889, 33, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 889 is 7 x 127
Prime Factorization of 33 is 3 x 11
Prime Factorization of 835 is 5 x 167
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(792, 889) = 704088
GCD(792, 889) = ( 792 x 889 ) / 704088
GCD(792, 889) = 704088 / 704088
GCD(792, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 792, 889, 33, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 889, 33, 835?
GCD of 792, 889, 33, 835 is 1
2. Where do I get the detailed procedure to find GCD of 792, 889, 33, 835?
You can find a detailed procedure to find GCD of 792, 889, 33, 835 on our page.
3. How to find GCD of 792, 889, 33, 835 on a calculator?
You can find the GCD of 792, 889, 33, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.