GCD of 22, 96, 54 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 22, 96, 54 i.e. 2 largest integer that divides all the numbers equally.
GCD of 22, 96, 54 is 2
GCD(22, 96, 54) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 96, 54 is 2
GCD(22, 96, 54) = 2
GCDof 22,96,54 is 2
Given Input numbers are 22, 96, 54
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
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 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Greatest Common Divisior
We found the divisors of 22, 96, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 96, 54 is 2.
Therefore, GCD of numbers 22, 96, 54 is 2
Given Input Data is 22, 96, 54
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 54 is 2 x 3 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 22, 96, 54 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(22, 96) = 1056
GCD(22, 96) = ( 22 x 96 ) / 1056
GCD(22, 96) = 2112 / 1056
GCD(22, 96) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
GCD(2, 54) = 108 / 54
GCD(2, 54) = 2
GCD of 22, 96, 54 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 22, 96, 54
1. What is the GCD of 22, 96, 54?
GCD of 22, 96, 54 is 2
2. Where do I get the detailed procedure to find GCD of 22, 96, 54?
You can find a detailed procedure to find GCD of 22, 96, 54 on our page.
3. How to find GCD of 22, 96, 54 on a calculator?
You can find the GCD of 22, 96, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.