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 512, 624, 44, 872 i.e. 4 largest integer that divides all the numbers equally.
GCD of 512, 624, 44, 872 is 4
GCD(512, 624, 44, 872) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 512, 624, 44, 872 is 4
GCD(512, 624, 44, 872) = 4
Given Input numbers are 512, 624, 44, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 512, 624, 44, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 624, 44, 872 is 4.
Therefore, GCD of numbers 512, 624, 44, 872 is 4
Given Input Data is 512, 624, 44, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(512, 624) = 19968
GCD(512, 624) = ( 512 x 624 ) / 19968
GCD(512, 624) = 319488 / 19968
GCD(512, 624) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 44) = 176
GCD(16, 44) = ( 16 x 44 ) / 176
GCD(16, 44) = 704 / 176
GCD(16, 44) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 872) = 872
GCD(4, 872) = ( 4 x 872 ) / 872
GCD(4, 872) = 3488 / 872
GCD(4, 872) = 4
GCD of 512, 624, 44, 872 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 512, 624, 44, 872?
GCD of 512, 624, 44, 872 is 4
2. Where do I get the detailed procedure to find GCD of 512, 624, 44, 872?
You can find a detailed procedure to find GCD of 512, 624, 44, 872 on our page.
3. How to find GCD of 512, 624, 44, 872 on a calculator?
You can find the GCD of 512, 624, 44, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.