GCD of 144, 224, 744 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 144, 224, 744 i.e. 8 largest integer that divides all the numbers equally.
GCD of 144, 224, 744 is 8
GCD(144, 224, 744) = 8
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 224, 744 is 8
GCD(144, 224, 744) = 8
GCDof 144,224,744 is 8
Given Input numbers are 144, 224, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Greatest Common Divisior
We found the divisors of 144, 224, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 224, 744 is 8.
Therefore, GCD of numbers 144, 224, 744 is 8
Given Input Data is 144, 224, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Highest common occurrences in the given inputs are 23
Multiplying them we get the GCD as 8
Finding GCD of 144, 224, 744 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(144, 224) = 2016
GCD(144, 224) = ( 144 x 224 ) / 2016
GCD(144, 224) = 32256 / 2016
GCD(144, 224) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 744) = 1488
GCD(16, 744) = ( 16 x 744 ) / 1488
GCD(16, 744) = 11904 / 1488
GCD(16, 744) = 8
GCD of 144, 224, 744 is 8
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FAQs on GCD of numbers 144, 224, 744
1. What is the GCD of 144, 224, 744?
GCD of 144, 224, 744 is 8
2. Where do I get the detailed procedure to find GCD of 144, 224, 744?
You can find a detailed procedure to find GCD of 144, 224, 744 on our page.
3. How to find GCD of 144, 224, 744 on a calculator?
You can find the GCD of 144, 224, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.