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, 143, 12, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 143, 12, 826 is 1
GCD(255, 143, 12, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 143, 12, 826 is 1
GCD(255, 143, 12, 826) = 1
Given Input numbers are 255, 143, 12, 826
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 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 255, 143, 12, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 143, 12, 826 is 1.
Therefore, GCD of numbers 255, 143, 12, 826 is 1
Given Input Data is 255, 143, 12, 826
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 143 is 11 x 13
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 826 is 2 x 7 x 59
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, 143) = 36465
GCD(255, 143) = ( 255 x 143 ) / 36465
GCD(255, 143) = 36465 / 36465
GCD(255, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 255, 143, 12, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 143, 12, 826?
GCD of 255, 143, 12, 826 is 1
2. Where do I get the detailed procedure to find GCD of 255, 143, 12, 826?
You can find a detailed procedure to find GCD of 255, 143, 12, 826 on our page.
3. How to find GCD of 255, 143, 12, 826 on a calculator?
You can find the GCD of 255, 143, 12, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.