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 482, 320, 90, 580 i.e. 2 largest integer that divides all the numbers equally.
GCD of 482, 320, 90, 580 is 2
GCD(482, 320, 90, 580) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 482, 320, 90, 580 is 2
GCD(482, 320, 90, 580) = 2
Given Input numbers are 482, 320, 90, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Greatest Common Divisior
We found the divisors of 482, 320, 90, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 320, 90, 580 is 2.
Therefore, GCD of numbers 482, 320, 90, 580 is 2
Given Input Data is 482, 320, 90, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 482 is 2 x 241
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 580 is 2 x 2 x 5 x 29
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(482, 320) = 77120
GCD(482, 320) = ( 482 x 320 ) / 77120
GCD(482, 320) = 154240 / 77120
GCD(482, 320) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
GCD(2, 90) = 180 / 90
GCD(2, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
GCD(2, 580) = 1160 / 580
GCD(2, 580) = 2
GCD of 482, 320, 90, 580 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 482, 320, 90, 580?
GCD of 482, 320, 90, 580 is 2
2. Where do I get the detailed procedure to find GCD of 482, 320, 90, 580?
You can find a detailed procedure to find GCD of 482, 320, 90, 580 on our page.
3. How to find GCD of 482, 320, 90, 580 on a calculator?
You can find the GCD of 482, 320, 90, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.