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 455, 363, 284, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 455, 363, 284, 643 is 1
GCD(455, 363, 284, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 455, 363, 284, 643 is 1
GCD(455, 363, 284, 643) = 1
Given Input numbers are 455, 363, 284, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 455, 363, 284, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 363, 284, 643 is 1.
Therefore, GCD of numbers 455, 363, 284, 643 is 1
Given Input Data is 455, 363, 284, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 643 is 643
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(455, 363) = 165165
GCD(455, 363) = ( 455 x 363 ) / 165165
GCD(455, 363) = 165165 / 165165
GCD(455, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 455, 363, 284, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 455, 363, 284, 643?
GCD of 455, 363, 284, 643 is 1
2. Where do I get the detailed procedure to find GCD of 455, 363, 284, 643?
You can find a detailed procedure to find GCD of 455, 363, 284, 643 on our page.
3. How to find GCD of 455, 363, 284, 643 on a calculator?
You can find the GCD of 455, 363, 284, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.