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, 421, 88, 714 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 421, 88, 714 is 1
GCD(791, 421, 88, 714) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 421, 88, 714 is 1
GCD(791, 421, 88, 714) = 1
Given Input numbers are 791, 421, 88, 714
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 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Greatest Common Divisior
We found the divisors of 791, 421, 88, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 421, 88, 714 is 1.
Therefore, GCD of numbers 791, 421, 88, 714 is 1
Given Input Data is 791, 421, 88, 714
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 421 is 421
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 714 is 2 x 3 x 7 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(791, 421) = 333011
GCD(791, 421) = ( 791 x 421 ) / 333011
GCD(791, 421) = 333011 / 333011
GCD(791, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
GCD of 791, 421, 88, 714 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 421, 88, 714?
GCD of 791, 421, 88, 714 is 1
2. Where do I get the detailed procedure to find GCD of 791, 421, 88, 714?
You can find a detailed procedure to find GCD of 791, 421, 88, 714 on our page.
3. How to find GCD of 791, 421, 88, 714 on a calculator?
You can find the GCD of 791, 421, 88, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.