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 170, 480, 568, 582 i.e. 2 largest integer that divides all the numbers equally.
GCD of 170, 480, 568, 582 is 2
GCD(170, 480, 568, 582) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 480, 568, 582 is 2
GCD(170, 480, 568, 582) = 2
Given Input numbers are 170, 480, 568, 582
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Greatest Common Divisior
We found the divisors of 170, 480, 568, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 480, 568, 582 is 2.
Therefore, GCD of numbers 170, 480, 568, 582 is 2
Given Input Data is 170, 480, 568, 582
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 582 is 2 x 3 x 97
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(170, 480) = 8160
GCD(170, 480) = ( 170 x 480 ) / 8160
GCD(170, 480) = 81600 / 8160
GCD(170, 480) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 568) = 2840
GCD(10, 568) = ( 10 x 568 ) / 2840
GCD(10, 568) = 5680 / 2840
GCD(10, 568) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 582) = 582
GCD(2, 582) = ( 2 x 582 ) / 582
GCD(2, 582) = 1164 / 582
GCD(2, 582) = 2
GCD of 170, 480, 568, 582 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 480, 568, 582?
GCD of 170, 480, 568, 582 is 2
2. Where do I get the detailed procedure to find GCD of 170, 480, 568, 582?
You can find a detailed procedure to find GCD of 170, 480, 568, 582 on our page.
3. How to find GCD of 170, 480, 568, 582 on a calculator?
You can find the GCD of 170, 480, 568, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.