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 643, 363, 27, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 363, 27, 382 is 1
GCD(643, 363, 27, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 363, 27, 382 is 1
GCD(643, 363, 27, 382) = 1
Given Input numbers are 643, 363, 27, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 643, 363, 27, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 363, 27, 382 is 1.
Therefore, GCD of numbers 643, 363, 27, 382 is 1
Given Input Data is 643, 363, 27, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 382 is 2 x 191
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(643, 363) = 233409
GCD(643, 363) = ( 643 x 363 ) / 233409
GCD(643, 363) = 233409 / 233409
GCD(643, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
GCD of 643, 363, 27, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 363, 27, 382?
GCD of 643, 363, 27, 382 is 1
2. Where do I get the detailed procedure to find GCD of 643, 363, 27, 382?
You can find a detailed procedure to find GCD of 643, 363, 27, 382 on our page.
3. How to find GCD of 643, 363, 27, 382 on a calculator?
You can find the GCD of 643, 363, 27, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.