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 584, 216, 60, 482 i.e. 2 largest integer that divides all the numbers equally.
GCD of 584, 216, 60, 482 is 2
GCD(584, 216, 60, 482) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 216, 60, 482 is 2
GCD(584, 216, 60, 482) = 2
Given Input numbers are 584, 216, 60, 482
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
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 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Greatest Common Divisior
We found the divisors of 584, 216, 60, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 216, 60, 482 is 2.
Therefore, GCD of numbers 584, 216, 60, 482 is 2
Given Input Data is 584, 216, 60, 482
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 482 is 2 x 241
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(584, 216) = 15768
GCD(584, 216) = ( 584 x 216 ) / 15768
GCD(584, 216) = 126144 / 15768
GCD(584, 216) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 60) = 120
GCD(8, 60) = ( 8 x 60 ) / 120
GCD(8, 60) = 480 / 120
GCD(8, 60) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 482) = 964
GCD(4, 482) = ( 4 x 482 ) / 964
GCD(4, 482) = 1928 / 964
GCD(4, 482) = 2
GCD of 584, 216, 60, 482 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 216, 60, 482?
GCD of 584, 216, 60, 482 is 2
2. Where do I get the detailed procedure to find GCD of 584, 216, 60, 482?
You can find a detailed procedure to find GCD of 584, 216, 60, 482 on our page.
3. How to find GCD of 584, 216, 60, 482 on a calculator?
You can find the GCD of 584, 216, 60, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.