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 918, 486, 810, 512 i.e. 2 largest integer that divides all the numbers equally.
GCD of 918, 486, 810, 512 is 2
GCD(918, 486, 810, 512) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 486, 810, 512 is 2
GCD(918, 486, 810, 512) = 2
Given Input numbers are 918, 486, 810, 512
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Greatest Common Divisior
We found the divisors of 918, 486, 810, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 486, 810, 512 is 2.
Therefore, GCD of numbers 918, 486, 810, 512 is 2
Given Input Data is 918, 486, 810, 512
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(918, 486) = 8262
GCD(918, 486) = ( 918 x 486 ) / 8262
GCD(918, 486) = 446148 / 8262
GCD(918, 486) = 54
Step2:
Here we consider the GCD from the above i.e. 54 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(54, 810) = 810
GCD(54, 810) = ( 54 x 810 ) / 810
GCD(54, 810) = 43740 / 810
GCD(54, 810) = 54
Step3:
Here we consider the GCD from the above i.e. 54 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(54, 512) = 13824
GCD(54, 512) = ( 54 x 512 ) / 13824
GCD(54, 512) = 27648 / 13824
GCD(54, 512) = 2
GCD of 918, 486, 810, 512 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 486, 810, 512?
GCD of 918, 486, 810, 512 is 2
2. Where do I get the detailed procedure to find GCD of 918, 486, 810, 512?
You can find a detailed procedure to find GCD of 918, 486, 810, 512 on our page.
3. How to find GCD of 918, 486, 810, 512 on a calculator?
You can find the GCD of 918, 486, 810, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.