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 585, 712, 558, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 712, 558, 480 is 1
GCD(585, 712, 558, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 712, 558, 480 is 1
GCD(585, 712, 558, 480) = 1
Given Input numbers are 585, 712, 558, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
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
Greatest Common Divisior
We found the divisors of 585, 712, 558, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 712, 558, 480 is 1.
Therefore, GCD of numbers 585, 712, 558, 480 is 1
Given Input Data is 585, 712, 558, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(585, 712) = 416520
GCD(585, 712) = ( 585 x 712 ) / 416520
GCD(585, 712) = 416520 / 416520
GCD(585, 712) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 585, 712, 558, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 712, 558, 480?
GCD of 585, 712, 558, 480 is 1
2. Where do I get the detailed procedure to find GCD of 585, 712, 558, 480?
You can find a detailed procedure to find GCD of 585, 712, 558, 480 on our page.
3. How to find GCD of 585, 712, 558, 480 on a calculator?
You can find the GCD of 585, 712, 558, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.