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, 132, 942, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 132, 942, 989 is 1
GCD(330, 132, 942, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 132, 942, 989 is 1
GCD(330, 132, 942, 989) = 1
Given Input numbers are 330, 132, 942, 989
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 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 330, 132, 942, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 132, 942, 989 is 1.
Therefore, GCD of numbers 330, 132, 942, 989 is 1
Given Input Data is 330, 132, 942, 989
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 132 is 2 x 2 x 3 x 11
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 989 is 23 x 43
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, 132) = 660
GCD(330, 132) = ( 330 x 132 ) / 660
GCD(330, 132) = 43560 / 660
GCD(330, 132) = 66
Step2:
Here we consider the GCD from the above i.e. 66 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(66, 942) = 10362
GCD(66, 942) = ( 66 x 942 ) / 10362
GCD(66, 942) = 62172 / 10362
GCD(66, 942) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 989) = 5934
GCD(6, 989) = ( 6 x 989 ) / 5934
GCD(6, 989) = 5934 / 5934
GCD(6, 989) = 1
GCD of 330, 132, 942, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 132, 942, 989?
GCD of 330, 132, 942, 989 is 1
2. Where do I get the detailed procedure to find GCD of 330, 132, 942, 989?
You can find a detailed procedure to find GCD of 330, 132, 942, 989 on our page.
3. How to find GCD of 330, 132, 942, 989 on a calculator?
You can find the GCD of 330, 132, 942, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.