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 275, 390, 41, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 390, 41, 216 is 1
GCD(275, 390, 41, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 390, 41, 216 is 1
GCD(275, 390, 41, 216) = 1
Given Input numbers are 275, 390, 41, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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 275, 390, 41, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 390, 41, 216 is 1.
Therefore, GCD of numbers 275, 390, 41, 216 is 1
Given Input Data is 275, 390, 41, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 41 is 41
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
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(275, 390) = 21450
GCD(275, 390) = ( 275 x 390 ) / 21450
GCD(275, 390) = 107250 / 21450
GCD(275, 390) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 41) = 205
GCD(5, 41) = ( 5 x 41 ) / 205
GCD(5, 41) = 205 / 205
GCD(5, 41) = 1
Step3:
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 275, 390, 41, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 390, 41, 216?
GCD of 275, 390, 41, 216 is 1
2. Where do I get the detailed procedure to find GCD of 275, 390, 41, 216?
You can find a detailed procedure to find GCD of 275, 390, 41, 216 on our page.
3. How to find GCD of 275, 390, 41, 216 on a calculator?
You can find the GCD of 275, 390, 41, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.