GCD of 504, 108, 705 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, 108, 705 i.e. 3 largest integer that divides all the numbers equally.
GCD of 504, 108, 705 is 3
GCD(504, 108, 705) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 108, 705 is 3
GCD(504, 108, 705) = 3
GCDof 504,108,705 is 3
Given Input numbers are 504, 108, 705
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 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
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 504, 108, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 108, 705 is 3.
Therefore, GCD of numbers 504, 108, 705 is 3
Given Input Data is 504, 108, 705
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 108 is 2 x 2 x 3 x 3 x 3
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
Finding GCD of 504, 108, 705 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, 108) = 1512
GCD(504, 108) = ( 504 x 108 ) / 1512
GCD(504, 108) = 54432 / 1512
GCD(504, 108) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 705) = 8460
GCD(36, 705) = ( 36 x 705 ) / 8460
GCD(36, 705) = 25380 / 8460
GCD(36, 705) = 3
GCD of 504, 108, 705 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 504, 108, 705
1. What is the GCD of 504, 108, 705?
GCD of 504, 108, 705 is 3
2. Where do I get the detailed procedure to find GCD of 504, 108, 705?
You can find a detailed procedure to find GCD of 504, 108, 705 on our page.
3. How to find GCD of 504, 108, 705 on a calculator?
You can find the GCD of 504, 108, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.