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 255, 613, 660, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 613, 660, 240 is 1
GCD(255, 613, 660, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 613, 660, 240 is 1
GCD(255, 613, 660, 240) = 1
Given Input numbers are 255, 613, 660, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 255, 613, 660, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 613, 660, 240 is 1.
Therefore, GCD of numbers 255, 613, 660, 240 is 1
Given Input Data is 255, 613, 660, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 613 is 613
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(255, 613) = 156315
GCD(255, 613) = ( 255 x 613 ) / 156315
GCD(255, 613) = 156315 / 156315
GCD(255, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 255, 613, 660, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 613, 660, 240?
GCD of 255, 613, 660, 240 is 1
2. Where do I get the detailed procedure to find GCD of 255, 613, 660, 240?
You can find a detailed procedure to find GCD of 255, 613, 660, 240 on our page.
3. How to find GCD of 255, 613, 660, 240 on a calculator?
You can find the GCD of 255, 613, 660, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.