GCD of 330, 105, 942 Calculator
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, 105, 942 i.e. 3 largest integer that divides all the numbers equally.
GCD of 330, 105, 942 is 3
GCD(330, 105, 942) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 105, 942 is 3
GCD(330, 105, 942) = 3
GCDof 330,105,942 is 3
Given Input numbers are 330, 105, 942
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 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 330, 105, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 105, 942 is 3.
Therefore, GCD of numbers 330, 105, 942 is 3
Given Input Data is 330, 105, 942
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 105 is 3 x 5 x 7
Prime Factorization of 942 is 2 x 3 x 157
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 330, 105, 942 using LCM Formula
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, 105) = 2310
GCD(330, 105) = ( 330 x 105 ) / 2310
GCD(330, 105) = 34650 / 2310
GCD(330, 105) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 942) = 4710
GCD(15, 942) = ( 15 x 942 ) / 4710
GCD(15, 942) = 14130 / 4710
GCD(15, 942) = 3
GCD of 330, 105, 942 is 3
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FAQs on GCD of numbers 330, 105, 942
1. What is the GCD of 330, 105, 942?
GCD of 330, 105, 942 is 3
2. Where do I get the detailed procedure to find GCD of 330, 105, 942?
You can find a detailed procedure to find GCD of 330, 105, 942 on our page.
3. How to find GCD of 330, 105, 942 on a calculator?
You can find the GCD of 330, 105, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.