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 396, 795, 54, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 795, 54, 254 is 1
GCD(396, 795, 54, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 795, 54, 254 is 1
GCD(396, 795, 54, 254) = 1
Given Input numbers are 396, 795, 54, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 396, 795, 54, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 795, 54, 254 is 1.
Therefore, GCD of numbers 396, 795, 54, 254 is 1
Given Input Data is 396, 795, 54, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 254 is 2 x 127
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(396, 795) = 104940
GCD(396, 795) = ( 396 x 795 ) / 104940
GCD(396, 795) = 314820 / 104940
GCD(396, 795) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 54) = 54
GCD(3, 54) = ( 3 x 54 ) / 54
GCD(3, 54) = 162 / 54
GCD(3, 54) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 254) = 762
GCD(3, 254) = ( 3 x 254 ) / 762
GCD(3, 254) = 762 / 762
GCD(3, 254) = 1
GCD of 396, 795, 54, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 795, 54, 254?
GCD of 396, 795, 54, 254 is 1
2. Where do I get the detailed procedure to find GCD of 396, 795, 54, 254?
You can find a detailed procedure to find GCD of 396, 795, 54, 254 on our page.
3. How to find GCD of 396, 795, 54, 254 on a calculator?
You can find the GCD of 396, 795, 54, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.