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 215, 665, 72, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 665, 72, 447 is 1
GCD(215, 665, 72, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 665, 72, 447 is 1
GCD(215, 665, 72, 447) = 1
Given Input numbers are 215, 665, 72, 447
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Greatest Common Divisior
We found the divisors of 215, 665, 72, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 665, 72, 447 is 1.
Therefore, GCD of numbers 215, 665, 72, 447 is 1
Given Input Data is 215, 665, 72, 447
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 447 is 3 x 149
The above numbers do not have any common prime factor. So GCD is 1
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(215, 665) = 28595
GCD(215, 665) = ( 215 x 665 ) / 28595
GCD(215, 665) = 142975 / 28595
GCD(215, 665) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 72) = 360
GCD(5, 72) = ( 5 x 72 ) / 360
GCD(5, 72) = 360 / 360
GCD(5, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 447) = 447
GCD(1, 447) = ( 1 x 447 ) / 447
GCD(1, 447) = 447 / 447
GCD(1, 447) = 1
GCD of 215, 665, 72, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 665, 72, 447?
GCD of 215, 665, 72, 447 is 1
2. Where do I get the detailed procedure to find GCD of 215, 665, 72, 447?
You can find a detailed procedure to find GCD of 215, 665, 72, 447 on our page.
3. How to find GCD of 215, 665, 72, 447 on a calculator?
You can find the GCD of 215, 665, 72, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.