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, 458, 105, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 458, 105, 477 is 1
GCD(255, 458, 105, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 458, 105, 477 is 1
GCD(255, 458, 105, 477) = 1
Given Input numbers are 255, 458, 105, 477
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 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 255, 458, 105, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 458, 105, 477 is 1.
Therefore, GCD of numbers 255, 458, 105, 477 is 1
Given Input Data is 255, 458, 105, 477
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 458 is 2 x 229
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 477 is 3 x 3 x 53
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, 458) = 116790
GCD(255, 458) = ( 255 x 458 ) / 116790
GCD(255, 458) = 116790 / 116790
GCD(255, 458) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 255, 458, 105, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 458, 105, 477?
GCD of 255, 458, 105, 477 is 1
2. Where do I get the detailed procedure to find GCD of 255, 458, 105, 477?
You can find a detailed procedure to find GCD of 255, 458, 105, 477 on our page.
3. How to find GCD of 255, 458, 105, 477 on a calculator?
You can find the GCD of 255, 458, 105, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.