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, 728, 98, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 728, 98, 432 is 1
GCD(791, 728, 98, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 728, 98, 432 is 1
GCD(791, 728, 98, 432) = 1
Given Input numbers are 791, 728, 98, 432
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 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 791, 728, 98, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 728, 98, 432 is 1.
Therefore, GCD of numbers 791, 728, 98, 432 is 1
Given Input Data is 791, 728, 98, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 432 is 2 x 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(791, 728) = 82264
GCD(791, 728) = ( 791 x 728 ) / 82264
GCD(791, 728) = 575848 / 82264
GCD(791, 728) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 98) = 98
GCD(7, 98) = ( 7 x 98 ) / 98
GCD(7, 98) = 686 / 98
GCD(7, 98) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 432) = 3024
GCD(7, 432) = ( 7 x 432 ) / 3024
GCD(7, 432) = 3024 / 3024
GCD(7, 432) = 1
GCD of 791, 728, 98, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 728, 98, 432?
GCD of 791, 728, 98, 432 is 1
2. Where do I get the detailed procedure to find GCD of 791, 728, 98, 432?
You can find a detailed procedure to find GCD of 791, 728, 98, 432 on our page.
3. How to find GCD of 791, 728, 98, 432 on a calculator?
You can find the GCD of 791, 728, 98, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.