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 510, 504, 494, 360 i.e. 2 largest integer that divides all the numbers equally.
GCD of 510, 504, 494, 360 is 2
GCD(510, 504, 494, 360) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 504, 494, 360 is 2
GCD(510, 504, 494, 360) = 2
Given Input numbers are 510, 504, 494, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 510, 504, 494, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 504, 494, 360 is 2.
Therefore, GCD of numbers 510, 504, 494, 360 is 2
Given Input Data is 510, 504, 494, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(510, 504) = 42840
GCD(510, 504) = ( 510 x 504 ) / 42840
GCD(510, 504) = 257040 / 42840
GCD(510, 504) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 494) = 1482
GCD(6, 494) = ( 6 x 494 ) / 1482
GCD(6, 494) = 2964 / 1482
GCD(6, 494) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
GCD(2, 360) = 720 / 360
GCD(2, 360) = 2
GCD of 510, 504, 494, 360 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 504, 494, 360?
GCD of 510, 504, 494, 360 is 2
2. Where do I get the detailed procedure to find GCD of 510, 504, 494, 360?
You can find a detailed procedure to find GCD of 510, 504, 494, 360 on our page.
3. How to find GCD of 510, 504, 494, 360 on a calculator?
You can find the GCD of 510, 504, 494, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.