GCD of 96, 42, 48 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 96, 42, 48 i.e. 6 largest integer that divides all the numbers equally.
GCD of 96, 42, 48 is 6
GCD(96, 42, 48) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 42, 48 is 6
GCD(96, 42, 48) = 6
GCDof 96,42,48 is 6
Given Input numbers are 96, 42, 48
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
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
Greatest Common Divisior
We found the divisors of 96, 42, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 42, 48 is 6.
Therefore, GCD of numbers 96, 42, 48 is 6
Given Input Data is 96, 42, 48
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
Finding GCD of 96, 42, 48 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(96, 42) = 672
GCD(96, 42) = ( 96 x 42 ) / 672
GCD(96, 42) = 4032 / 672
GCD(96, 42) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 48) = 48
GCD(6, 48) = ( 6 x 48 ) / 48
GCD(6, 48) = 288 / 48
GCD(6, 48) = 6
GCD of 96, 42, 48 is 6
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 96, 42, 48
1. What is the GCD of 96, 42, 48?
GCD of 96, 42, 48 is 6
2. Where do I get the detailed procedure to find GCD of 96, 42, 48?
You can find a detailed procedure to find GCD of 96, 42, 48 on our page.
3. How to find GCD of 96, 42, 48 on a calculator?
You can find the GCD of 96, 42, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.