GCD of 504, 258, 633 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, 258, 633 i.e. 3 largest integer that divides all the numbers equally.
GCD of 504, 258, 633 is 3
GCD(504, 258, 633) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 258, 633 is 3
GCD(504, 258, 633) = 3
GCDof 504,258,633 is 3
Given Input numbers are 504, 258, 633
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 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 504, 258, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 258, 633 is 3.
Therefore, GCD of numbers 504, 258, 633 is 3
Given Input Data is 504, 258, 633
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 258 is 2 x 3 x 43
Prime Factorization of 633 is 3 x 211
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 504, 258, 633 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, 258) = 21672
GCD(504, 258) = ( 504 x 258 ) / 21672
GCD(504, 258) = 130032 / 21672
GCD(504, 258) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 633) = 1266
GCD(6, 633) = ( 6 x 633 ) / 1266
GCD(6, 633) = 3798 / 1266
GCD(6, 633) = 3
GCD of 504, 258, 633 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 504, 258, 633
1. What is the GCD of 504, 258, 633?
GCD of 504, 258, 633 is 3
2. Where do I get the detailed procedure to find GCD of 504, 258, 633?
You can find a detailed procedure to find GCD of 504, 258, 633 on our page.
3. How to find GCD of 504, 258, 633 on a calculator?
You can find the GCD of 504, 258, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.