GCD of 18, 30, 93 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 18, 30, 93 i.e. 3 largest integer that divides all the numbers equally.
GCD of 18, 30, 93 is 3
GCD(18, 30, 93) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 30, 93 is 3
GCD(18, 30, 93) = 3
GCDof 18,30,93 is 3
Given Input numbers are 18, 30, 93
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Greatest Common Divisior
We found the divisors of 18, 30, 93 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 30, 93 is 3.
Therefore, GCD of numbers 18, 30, 93 is 3
Given Input Data is 18, 30, 93
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 93 is 3 x 31
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 18, 30, 93 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(18, 30) = 90
GCD(18, 30) = ( 18 x 30 ) / 90
GCD(18, 30) = 540 / 90
GCD(18, 30) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 93) = 186
GCD(6, 93) = ( 6 x 93 ) / 186
GCD(6, 93) = 558 / 186
GCD(6, 93) = 3
GCD of 18, 30, 93 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 18, 30, 93
1. What is the GCD of 18, 30, 93?
GCD of 18, 30, 93 is 3
2. Where do I get the detailed procedure to find GCD of 18, 30, 93?
You can find a detailed procedure to find GCD of 18, 30, 93 on our page.
3. How to find GCD of 18, 30, 93 on a calculator?
You can find the GCD of 18, 30, 93 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.