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 421, 799, 24, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 799, 24, 696 is 1
GCD(421, 799, 24, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 799, 24, 696 is 1
GCD(421, 799, 24, 696) = 1
Given Input numbers are 421, 799, 24, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 421, 799, 24, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 799, 24, 696 is 1.
Therefore, GCD of numbers 421, 799, 24, 696 is 1
Given Input Data is 421, 799, 24, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 799 is 17 x 47
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(421, 799) = 336379
GCD(421, 799) = ( 421 x 799 ) / 336379
GCD(421, 799) = 336379 / 336379
GCD(421, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 421, 799, 24, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 799, 24, 696?
GCD of 421, 799, 24, 696 is 1
2. Where do I get the detailed procedure to find GCD of 421, 799, 24, 696?
You can find a detailed procedure to find GCD of 421, 799, 24, 696 on our page.
3. How to find GCD of 421, 799, 24, 696 on a calculator?
You can find the GCD of 421, 799, 24, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.