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, 324, 77, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 324, 77, 613 is 1
GCD(255, 324, 77, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 324, 77, 613 is 1
GCD(255, 324, 77, 613) = 1
Given Input numbers are 255, 324, 77, 613
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 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 255, 324, 77, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 324, 77, 613 is 1.
Therefore, GCD of numbers 255, 324, 77, 613 is 1
Given Input Data is 255, 324, 77, 613
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 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 77 is 7 x 11
Prime Factorization of 613 is 613
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, 324) = 27540
GCD(255, 324) = ( 255 x 324 ) / 27540
GCD(255, 324) = 82620 / 27540
GCD(255, 324) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
GCD(3, 77) = 231 / 231
GCD(3, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 255, 324, 77, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 324, 77, 613?
GCD of 255, 324, 77, 613 is 1
2. Where do I get the detailed procedure to find GCD of 255, 324, 77, 613?
You can find a detailed procedure to find GCD of 255, 324, 77, 613 on our page.
3. How to find GCD of 255, 324, 77, 613 on a calculator?
You can find the GCD of 255, 324, 77, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.