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 582, 368, 90, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 368, 90, 217 is 1
GCD(582, 368, 90, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 368, 90, 217 is 1
GCD(582, 368, 90, 217) = 1
Given Input numbers are 582, 368, 90, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
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 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 582, 368, 90, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 368, 90, 217 is 1.
Therefore, GCD of numbers 582, 368, 90, 217 is 1
Given Input Data is 582, 368, 90, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 217 is 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
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(582, 368) = 107088
GCD(582, 368) = ( 582 x 368 ) / 107088
GCD(582, 368) = 214176 / 107088
GCD(582, 368) = 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 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
GCD(2, 217) = 434 / 434
GCD(2, 217) = 1
GCD of 582, 368, 90, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 368, 90, 217?
GCD of 582, 368, 90, 217 is 1
2. Where do I get the detailed procedure to find GCD of 582, 368, 90, 217?
You can find a detailed procedure to find GCD of 582, 368, 90, 217 on our page.
3. How to find GCD of 582, 368, 90, 217 on a calculator?
You can find the GCD of 582, 368, 90, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.