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 444, 128, 584 i.e. 4 largest integer that divides all the numbers equally.
GCD of 444, 128, 584 is 4
GCD(444, 128, 584) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 128, 584 is 4
GCD(444, 128, 584) = 4
Given Input numbers are 444, 128, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 444, 128, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 128, 584 is 4.
Therefore, GCD of numbers 444, 128, 584 is 4
Given Input Data is 444, 128, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 584 is 2 x 2 x 2 x 73
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(444, 128) = 14208
GCD(444, 128) = ( 444 x 128 ) / 14208
GCD(444, 128) = 56832 / 14208
GCD(444, 128) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 584) = 584
GCD(4, 584) = ( 4 x 584 ) / 584
GCD(4, 584) = 2336 / 584
GCD(4, 584) = 4
GCD of 444, 128, 584 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 128, 584?
GCD of 444, 128, 584 is 4
2. Where do I get the detailed procedure to find GCD of 444, 128, 584?
You can find a detailed procedure to find GCD of 444, 128, 584 on our page.
3. How to find GCD of 444, 128, 584 on a calculator?
You can find the GCD of 444, 128, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.