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 843, 339, 16, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 339, 16, 643 is 1
GCD(843, 339, 16, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 339, 16, 643 is 1
GCD(843, 339, 16, 643) = 1
Given Input numbers are 843, 339, 16, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
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 843, 339, 16, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 339, 16, 643 is 1.
Therefore, GCD of numbers 843, 339, 16, 643 is 1
Given Input Data is 843, 339, 16, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 339 is 3 x 113
Prime Factorization of 16 is 2 x 2 x 2 x 2
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(843, 339) = 95259
GCD(843, 339) = ( 843 x 339 ) / 95259
GCD(843, 339) = 285777 / 95259
GCD(843, 339) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 16) = 48
GCD(3, 16) = ( 3 x 16 ) / 48
GCD(3, 16) = 48 / 48
GCD(3, 16) = 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 843, 339, 16, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 339, 16, 643?
GCD of 843, 339, 16, 643 is 1
2. Where do I get the detailed procedure to find GCD of 843, 339, 16, 643?
You can find a detailed procedure to find GCD of 843, 339, 16, 643 on our page.
3. How to find GCD of 843, 339, 16, 643 on a calculator?
You can find the GCD of 843, 339, 16, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.