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 486, 777, 591 i.e. 3 largest integer that divides all the numbers equally.
GCD of 486, 777, 591 is 3
GCD(486, 777, 591) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 777, 591 is 3
GCD(486, 777, 591) = 3
Given Input numbers are 486, 777, 591
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
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 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 486, 777, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 777, 591 is 3.
Therefore, GCD of numbers 486, 777, 591 is 3
Given Input Data is 486, 777, 591
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 777 is 3 x 7 x 37
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(486, 777) = 125874
GCD(486, 777) = ( 486 x 777 ) / 125874
GCD(486, 777) = 377622 / 125874
GCD(486, 777) = 3
Step2:
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 486, 777, 591 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 777, 591?
GCD of 486, 777, 591 is 3
2. Where do I get the detailed procedure to find GCD of 486, 777, 591?
You can find a detailed procedure to find GCD of 486, 777, 591 on our page.
3. How to find GCD of 486, 777, 591 on a calculator?
You can find the GCD of 486, 777, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.