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 216, 620, 544 i.e. 4 largest integer that divides all the numbers equally.
GCD of 216, 620, 544 is 4
GCD(216, 620, 544) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 620, 544 is 4
GCD(216, 620, 544) = 4
Given Input numbers are 216, 620, 544
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Greatest Common Divisior
We found the divisors of 216, 620, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 620, 544 is 4.
Therefore, GCD of numbers 216, 620, 544 is 4
Given Input Data is 216, 620, 544
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
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(216, 620) = 33480
GCD(216, 620) = ( 216 x 620 ) / 33480
GCD(216, 620) = 133920 / 33480
GCD(216, 620) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 544
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 544) = 544
GCD(4, 544) = ( 4 x 544 ) / 544
GCD(4, 544) = 2176 / 544
GCD(4, 544) = 4
GCD of 216, 620, 544 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 620, 544?
GCD of 216, 620, 544 is 4
2. Where do I get the detailed procedure to find GCD of 216, 620, 544?
You can find a detailed procedure to find GCD of 216, 620, 544 on our page.
3. How to find GCD of 216, 620, 544 on a calculator?
You can find the GCD of 216, 620, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.