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, 390, 705 i.e. 3 largest integer that divides all the numbers equally.
GCD of 486, 390, 705 is 3
GCD(486, 390, 705) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 390, 705 is 3
GCD(486, 390, 705) = 3
Given Input numbers are 486, 390, 705
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 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 486, 390, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 390, 705 is 3.
Therefore, GCD of numbers 486, 390, 705 is 3
Given Input Data is 486, 390, 705
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 390 is 2 x 3 x 5 x 13
Prime Factorization of 705 is 3 x 5 x 47
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, 390) = 31590
GCD(486, 390) = ( 486 x 390 ) / 31590
GCD(486, 390) = 189540 / 31590
GCD(486, 390) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 705) = 1410
GCD(6, 705) = ( 6 x 705 ) / 1410
GCD(6, 705) = 4230 / 1410
GCD(6, 705) = 3
GCD of 486, 390, 705 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 390, 705?
GCD of 486, 390, 705 is 3
2. Where do I get the detailed procedure to find GCD of 486, 390, 705?
You can find a detailed procedure to find GCD of 486, 390, 705 on our page.
3. How to find GCD of 486, 390, 705 on a calculator?
You can find the GCD of 486, 390, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.