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, 777, 60, 591 i.e. 3 largest integer that divides all the numbers equally.
GCD of 585, 777, 60, 591 is 3
GCD(585, 777, 60, 591) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 777, 60, 591 is 3
GCD(585, 777, 60, 591) = 3
Given Input numbers are 585, 777, 60, 591
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 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
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 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Greatest Common Divisior
We found the divisors of 585, 777, 60, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 777, 60, 591 is 3.
Therefore, GCD of numbers 585, 777, 60, 591 is 3
Given Input Data is 585, 777, 60, 591
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 777 is 3 x 7 x 37
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 591 is 3 x 197
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 777) = 151515
GCD(585, 777) = ( 585 x 777 ) / 151515
GCD(585, 777) = 454545 / 151515
GCD(585, 777) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
GCD(3, 60) = 180 / 60
GCD(3, 60) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 591) = 591
GCD(3, 591) = ( 3 x 591 ) / 591
GCD(3, 591) = 1773 / 591
GCD(3, 591) = 3
GCD of 585, 777, 60, 591 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 777, 60, 591?
GCD of 585, 777, 60, 591 is 3
2. Where do I get the detailed procedure to find GCD of 585, 777, 60, 591?
You can find a detailed procedure to find GCD of 585, 777, 60, 591 on our page.
3. How to find GCD of 585, 777, 60, 591 on a calculator?
You can find the GCD of 585, 777, 60, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.