GCD of 504, 145, 216 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, 145, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 145, 216 is 1
GCD(504, 145, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 145, 216 is 1
GCD(504, 145, 216) = 1
GCDof 504,145,216 is 1
Given Input numbers are 504, 145, 216
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 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 504, 145, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 145, 216 is 1.
Therefore, GCD of numbers 504, 145, 216 is 1
Given Input Data is 504, 145, 216
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 145 is 5 x 29
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 504, 145, 216 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, 145) = 73080
GCD(504, 145) = ( 504 x 145 ) / 73080
GCD(504, 145) = 73080 / 73080
GCD(504, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 504, 145, 216 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 504, 145, 216
1. What is the GCD of 504, 145, 216?
GCD of 504, 145, 216 is 1
2. Where do I get the detailed procedure to find GCD of 504, 145, 216?
You can find a detailed procedure to find GCD of 504, 145, 216 on our page.
3. How to find GCD of 504, 145, 216 on a calculator?
You can find the GCD of 504, 145, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
