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, 614, 923, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 614, 923, 873 is 1
GCD(421, 614, 923, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 614, 923, 873 is 1
GCD(421, 614, 923, 873) = 1
Given Input numbers are 421, 614, 923, 873
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 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 421, 614, 923, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 614, 923, 873 is 1.
Therefore, GCD of numbers 421, 614, 923, 873 is 1
Given Input Data is 421, 614, 923, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 614 is 2 x 307
Prime Factorization of 923 is 13 x 71
Prime Factorization of 873 is 3 x 3 x 97
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, 614) = 258494
GCD(421, 614) = ( 421 x 614 ) / 258494
GCD(421, 614) = 258494 / 258494
GCD(421, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 421, 614, 923, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 614, 923, 873?
GCD of 421, 614, 923, 873 is 1
2. Where do I get the detailed procedure to find GCD of 421, 614, 923, 873?
You can find a detailed procedure to find GCD of 421, 614, 923, 873 on our page.
3. How to find GCD of 421, 614, 923, 873 on a calculator?
You can find the GCD of 421, 614, 923, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.