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, 412, 38, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 412, 38, 216 is 1
GCD(643, 412, 38, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 412, 38, 216 is 1
GCD(643, 412, 38, 216) = 1
Given Input numbers are 643, 412, 38, 216
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 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 643, 412, 38, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 412, 38, 216 is 1.
Therefore, GCD of numbers 643, 412, 38, 216 is 1
Given Input Data is 643, 412, 38, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 38 is 2 x 19
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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, 412) = 264916
GCD(643, 412) = ( 643 x 412 ) / 264916
GCD(643, 412) = 264916 / 264916
GCD(643, 412) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 643, 412, 38, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 412, 38, 216?
GCD of 643, 412, 38, 216 is 1
2. Where do I get the detailed procedure to find GCD of 643, 412, 38, 216?
You can find a detailed procedure to find GCD of 643, 412, 38, 216 on our page.
3. How to find GCD of 643, 412, 38, 216 on a calculator?
You can find the GCD of 643, 412, 38, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.