GCD of 504, 918, 494 Calculator
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 504, 918, 494 i.e. 2 largest integer that divides all the numbers equally.
GCD of 504, 918, 494 is 2
GCD(504, 918, 494) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 918, 494 is 2
GCD(504, 918, 494) = 2
GCDof 504,918,494 is 2
Given Input numbers are 504, 918, 494
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 504, 918, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 918, 494 is 2.
Therefore, GCD of numbers 504, 918, 494 is 2
Given Input Data is 504, 918, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 494 is 2 x 13 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 504, 918, 494 using LCM Formula
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(504, 918) = 25704
GCD(504, 918) = ( 504 x 918 ) / 25704
GCD(504, 918) = 462672 / 25704
GCD(504, 918) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 494) = 4446
GCD(18, 494) = ( 18 x 494 ) / 4446
GCD(18, 494) = 8892 / 4446
GCD(18, 494) = 2
GCD of 504, 918, 494 is 2
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FAQs on GCD of numbers 504, 918, 494
1. What is the GCD of 504, 918, 494?
GCD of 504, 918, 494 is 2
2. Where do I get the detailed procedure to find GCD of 504, 918, 494?
You can find a detailed procedure to find GCD of 504, 918, 494 on our page.
3. How to find GCD of 504, 918, 494 on a calculator?
You can find the GCD of 504, 918, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.