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 330, 969, 54, 836 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 969, 54, 836 is 1
GCD(330, 969, 54, 836) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 969, 54, 836 is 1
GCD(330, 969, 54, 836) = 1
Given Input numbers are 330, 969, 54, 836
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Greatest Common Divisior
We found the divisors of 330, 969, 54, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 969, 54, 836 is 1.
Therefore, GCD of numbers 330, 969, 54, 836 is 1
Given Input Data is 330, 969, 54, 836
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 836 is 2 x 2 x 11 x 19
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(330, 969) = 106590
GCD(330, 969) = ( 330 x 969 ) / 106590
GCD(330, 969) = 319770 / 106590
GCD(330, 969) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 54) = 54
GCD(3, 54) = ( 3 x 54 ) / 54
GCD(3, 54) = 162 / 54
GCD(3, 54) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 836) = 2508
GCD(3, 836) = ( 3 x 836 ) / 2508
GCD(3, 836) = 2508 / 2508
GCD(3, 836) = 1
GCD of 330, 969, 54, 836 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 969, 54, 836?
GCD of 330, 969, 54, 836 is 1
2. Where do I get the detailed procedure to find GCD of 330, 969, 54, 836?
You can find a detailed procedure to find GCD of 330, 969, 54, 836 on our page.
3. How to find GCD of 330, 969, 54, 836 on a calculator?
You can find the GCD of 330, 969, 54, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.