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 254, 382, 926, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 254, 382, 926, 855 is 1
GCD(254, 382, 926, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 254, 382, 926, 855 is 1
GCD(254, 382, 926, 855) = 1
Given Input numbers are 254, 382, 926, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 254, 382, 926, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 382, 926, 855 is 1.
Therefore, GCD of numbers 254, 382, 926, 855 is 1
Given Input Data is 254, 382, 926, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 254 is 2 x 127
Prime Factorization of 382 is 2 x 191
Prime Factorization of 926 is 2 x 463
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(254, 382) = 48514
GCD(254, 382) = ( 254 x 382 ) / 48514
GCD(254, 382) = 97028 / 48514
GCD(254, 382) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 926) = 926
GCD(2, 926) = ( 2 x 926 ) / 926
GCD(2, 926) = 1852 / 926
GCD(2, 926) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 855) = 1710
GCD(2, 855) = ( 2 x 855 ) / 1710
GCD(2, 855) = 1710 / 1710
GCD(2, 855) = 1
GCD of 254, 382, 926, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 254, 382, 926, 855?
GCD of 254, 382, 926, 855 is 1
2. Where do I get the detailed procedure to find GCD of 254, 382, 926, 855?
You can find a detailed procedure to find GCD of 254, 382, 926, 855 on our page.
3. How to find GCD of 254, 382, 926, 855 on a calculator?
You can find the GCD of 254, 382, 926, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.