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 839, 755, 284, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 839, 755, 284, 918 is 1
GCD(839, 755, 284, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 839, 755, 284, 918 is 1
GCD(839, 755, 284, 918) = 1
Given Input numbers are 839, 755, 284, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 839, 755, 284, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 755, 284, 918 is 1.
Therefore, GCD of numbers 839, 755, 284, 918 is 1
Given Input Data is 839, 755, 284, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 839 is 839
Prime Factorization of 755 is 5 x 151
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(839, 755) = 633445
GCD(839, 755) = ( 839 x 755 ) / 633445
GCD(839, 755) = 633445 / 633445
GCD(839, 755) = 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 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 839, 755, 284, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 839, 755, 284, 918?
GCD of 839, 755, 284, 918 is 1
2. Where do I get the detailed procedure to find GCD of 839, 755, 284, 918?
You can find a detailed procedure to find GCD of 839, 755, 284, 918 on our page.
3. How to find GCD of 839, 755, 284, 918 on a calculator?
You can find the GCD of 839, 755, 284, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.