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 791, 903, 385, 542 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 903, 385, 542 is 1
GCD(791, 903, 385, 542) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 903, 385, 542 is 1
GCD(791, 903, 385, 542) = 1
Given Input numbers are 791, 903, 385, 542
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Greatest Common Divisior
We found the divisors of 791, 903, 385, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 903, 385, 542 is 1.
Therefore, GCD of numbers 791, 903, 385, 542 is 1
Given Input Data is 791, 903, 385, 542
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 542 is 2 x 271
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(791, 903) = 102039
GCD(791, 903) = ( 791 x 903 ) / 102039
GCD(791, 903) = 714273 / 102039
GCD(791, 903) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 385) = 385
GCD(7, 385) = ( 7 x 385 ) / 385
GCD(7, 385) = 2695 / 385
GCD(7, 385) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 542) = 3794
GCD(7, 542) = ( 7 x 542 ) / 3794
GCD(7, 542) = 3794 / 3794
GCD(7, 542) = 1
GCD of 791, 903, 385, 542 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 903, 385, 542?
GCD of 791, 903, 385, 542 is 1
2. Where do I get the detailed procedure to find GCD of 791, 903, 385, 542?
You can find a detailed procedure to find GCD of 791, 903, 385, 542 on our page.
3. How to find GCD of 791, 903, 385, 542 on a calculator?
You can find the GCD of 791, 903, 385, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.