GCD of 46, 48, 30 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 46, 48, 30 i.e. 2 largest integer that divides all the numbers equally.
GCD of 46, 48, 30 is 2
GCD(46, 48, 30) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 48, 30 is 2
GCD(46, 48, 30) = 2
GCDof 46,48,30 is 2
Given Input numbers are 46, 48, 30
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 46, 48, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 48, 30 is 2.
Therefore, GCD of numbers 46, 48, 30 is 2
Given Input Data is 46, 48, 30
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 30 is 2 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 46, 48, 30 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(46, 48) = 1104
GCD(46, 48) = ( 46 x 48 ) / 1104
GCD(46, 48) = 2208 / 1104
GCD(46, 48) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
GCD of 46, 48, 30 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 46, 48, 30
1. What is the GCD of 46, 48, 30?
GCD of 46, 48, 30 is 2
2. Where do I get the detailed procedure to find GCD of 46, 48, 30?
You can find a detailed procedure to find GCD of 46, 48, 30 on our page.
3. How to find GCD of 46, 48, 30 on a calculator?
You can find the GCD of 46, 48, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.