GCD of 44, 56, 72 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, 56, 72 i.e. 4 largest integer that divides all the numbers equally.
GCD of 44, 56, 72 is 4
GCD(44, 56, 72) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 56, 72 is 4
GCD(44, 56, 72) = 4
GCDof 44,56,72 is 4
Given Input numbers are 44, 56, 72
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 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Greatest Common Divisior
We found the divisors of 44, 56, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 56, 72 is 4.
Therefore, GCD of numbers 44, 56, 72 is 4
Given Input Data is 44, 56, 72
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 56 is 2 x 2 x 2 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 44, 56, 72 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, 56) = 616
GCD(44, 56) = ( 44 x 56 ) / 616
GCD(44, 56) = 2464 / 616
GCD(44, 56) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
GCD(4, 72) = 288 / 72
GCD(4, 72) = 4
GCD of 44, 56, 72 is 4
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 44, 56, 72
1. What is the GCD of 44, 56, 72?
GCD of 44, 56, 72 is 4
2. Where do I get the detailed procedure to find GCD of 44, 56, 72?
You can find a detailed procedure to find GCD of 44, 56, 72 on our page.
3. How to find GCD of 44, 56, 72 on a calculator?
You can find the GCD of 44, 56, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.