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, 145, 78, 333 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 145, 78, 333 is 1
GCD(215, 145, 78, 333) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 145, 78, 333 is 1
GCD(215, 145, 78, 333) = 1
Given Input numbers are 215, 145, 78, 333
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 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Greatest Common Divisior
We found the divisors of 215, 145, 78, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 145, 78, 333 is 1.
Therefore, GCD of numbers 215, 145, 78, 333 is 1
Given Input Data is 215, 145, 78, 333
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 145 is 5 x 29
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 333 is 3 x 3 x 37
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, 145) = 6235
GCD(215, 145) = ( 215 x 145 ) / 6235
GCD(215, 145) = 31175 / 6235
GCD(215, 145) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 78) = 390
GCD(5, 78) = ( 5 x 78 ) / 390
GCD(5, 78) = 390 / 390
GCD(5, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 333) = 333
GCD(1, 333) = ( 1 x 333 ) / 333
GCD(1, 333) = 333 / 333
GCD(1, 333) = 1
GCD of 215, 145, 78, 333 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 145, 78, 333?
GCD of 215, 145, 78, 333 is 1
2. Where do I get the detailed procedure to find GCD of 215, 145, 78, 333?
You can find a detailed procedure to find GCD of 215, 145, 78, 333 on our page.
3. How to find GCD of 215, 145, 78, 333 on a calculator?
You can find the GCD of 215, 145, 78, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.