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 55, 88, 44 i.e. 11 largest integer that divides all the numbers equally.
GCD of 55, 88, 44 is 11
GCD(55, 88, 44) = 11
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 88, 44 is 11
GCD(55, 88, 44) = 11
Given Input numbers are 55, 88, 44
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Greatest Common Divisior
We found the divisors of 55, 88, 44 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 88, 44 is 11.
Therefore, GCD of numbers 55, 88, 44 is 11
Given Input Data is 55, 88, 44
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 44 is 2 x 2 x 11
Highest common occurrences in the given inputs are 111
Multiplying them we get the GCD as 11
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(55, 88) = 440
GCD(55, 88) = ( 55 x 88 ) / 440
GCD(55, 88) = 4840 / 440
GCD(55, 88) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 44) = 44
GCD(11, 44) = ( 11 x 44 ) / 44
GCD(11, 44) = 484 / 44
GCD(11, 44) = 11
GCD of 55, 88, 44 is 11
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 88, 44?
GCD of 55, 88, 44 is 11
2. Where do I get the detailed procedure to find GCD of 55, 88, 44?
You can find a detailed procedure to find GCD of 55, 88, 44 on our page.
3. How to find GCD of 55, 88, 44 on a calculator?
You can find the GCD of 55, 88, 44 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.