GCD of 44, 66, 11 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 44, 66, 11 i.e. 11 largest integer that divides all the numbers equally.
GCD of 44, 66, 11 is 11
GCD(44, 66, 11) = 11
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 66, 11 is 11
GCD(44, 66, 11) = 11
GCDof 44,66,11 is 11
Given Input numbers are 44, 66, 11
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Greatest Common Divisior
We found the divisors of 44, 66, 11 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 66, 11 is 11.
Therefore, GCD of numbers 44, 66, 11 is 11
Given Input Data is 44, 66, 11
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 11 is 11
Highest common occurrences in the given inputs are 111
Multiplying them we get the GCD as 11
Finding GCD of 44, 66, 11 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(44, 66) = 132
GCD(44, 66) = ( 44 x 66 ) / 132
GCD(44, 66) = 2904 / 132
GCD(44, 66) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 11) = 22
GCD(22, 11) = ( 22 x 11 ) / 22
GCD(22, 11) = 242 / 22
GCD(22, 11) = 11
GCD of 44, 66, 11 is 11
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FAQs on GCD of numbers 44, 66, 11
1. What is the GCD of 44, 66, 11?
GCD of 44, 66, 11 is 11
2. Where do I get the detailed procedure to find GCD of 44, 66, 11?
You can find a detailed procedure to find GCD of 44, 66, 11 on our page.
3. How to find GCD of 44, 66, 11 on a calculator?
You can find the GCD of 44, 66, 11 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.