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 838, 217, 104, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 217, 104, 743 is 1
GCD(838, 217, 104, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 217, 104, 743 is 1
GCD(838, 217, 104, 743) = 1
Given Input numbers are 838, 217, 104, 743
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 838, 217, 104, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 217, 104, 743 is 1.
Therefore, GCD of numbers 838, 217, 104, 743 is 1
Given Input Data is 838, 217, 104, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 217 is 7 x 31
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 743 is 743
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(838, 217) = 181846
GCD(838, 217) = ( 838 x 217 ) / 181846
GCD(838, 217) = 181846 / 181846
GCD(838, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 838, 217, 104, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 217, 104, 743?
GCD of 838, 217, 104, 743 is 1
2. Where do I get the detailed procedure to find GCD of 838, 217, 104, 743?
You can find a detailed procedure to find GCD of 838, 217, 104, 743 on our page.
3. How to find GCD of 838, 217, 104, 743 on a calculator?
You can find the GCD of 838, 217, 104, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.