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 33, 660, 121, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 660, 121, 835 is 1
GCD(33, 660, 121, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 660, 121, 835 is 1
GCD(33, 660, 121, 835) = 1
Given Input numbers are 33, 660, 121, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
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 33, 660, 121, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 660, 121, 835 is 1.
Therefore, GCD of numbers 33, 660, 121, 835 is 1
Given Input Data is 33, 660, 121, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 121 is 11 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(33, 660) = 660
GCD(33, 660) = ( 33 x 660 ) / 660
GCD(33, 660) = 21780 / 660
GCD(33, 660) = 33
Step2:
Here we consider the GCD from the above i.e. 33 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(33, 121) = 363
GCD(33, 121) = ( 33 x 121 ) / 363
GCD(33, 121) = 3993 / 363
GCD(33, 121) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 835) = 9185
GCD(11, 835) = ( 11 x 835 ) / 9185
GCD(11, 835) = 9185 / 9185
GCD(11, 835) = 1
GCD of 33, 660, 121, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 660, 121, 835?
GCD of 33, 660, 121, 835 is 1
2. Where do I get the detailed procedure to find GCD of 33, 660, 121, 835?
You can find a detailed procedure to find GCD of 33, 660, 121, 835 on our page.
3. How to find GCD of 33, 660, 121, 835 on a calculator?
You can find the GCD of 33, 660, 121, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.