GCD of 330, 784, 89 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, 784, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 784, 89 is 1
GCD(330, 784, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 784, 89 is 1
GCD(330, 784, 89) = 1
GCDof 330,784,89 is 1
Given Input numbers are 330, 784, 89
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 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Greatest Common Divisior
We found the divisors of 330, 784, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 784, 89 is 1.
Therefore, GCD of numbers 330, 784, 89 is 1
Given Input Data is 330, 784, 89
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 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 89 is 89
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 330, 784, 89 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, 784) = 129360
GCD(330, 784) = ( 330 x 784 ) / 129360
GCD(330, 784) = 258720 / 129360
GCD(330, 784) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
GCD of 330, 784, 89 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 330, 784, 89
1. What is the GCD of 330, 784, 89?
GCD of 330, 784, 89 is 1
2. Where do I get the detailed procedure to find GCD of 330, 784, 89?
You can find a detailed procedure to find GCD of 330, 784, 89 on our page.
3. How to find GCD of 330, 784, 89 on a calculator?
You can find the GCD of 330, 784, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.