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 721, 679, 459, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 679, 459, 481 is 1
GCD(721, 679, 459, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 679, 459, 481 is 1
GCD(721, 679, 459, 481) = 1
Given Input numbers are 721, 679, 459, 481
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 721, 679, 459, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 679, 459, 481 is 1.
Therefore, GCD of numbers 721, 679, 459, 481 is 1
Given Input Data is 721, 679, 459, 481
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 679 is 7 x 97
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 481 is 13 x 37
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(721, 679) = 69937
GCD(721, 679) = ( 721 x 679 ) / 69937
GCD(721, 679) = 489559 / 69937
GCD(721, 679) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 459) = 3213
GCD(7, 459) = ( 7 x 459 ) / 3213
GCD(7, 459) = 3213 / 3213
GCD(7, 459) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
GCD(1, 481) = 481 / 481
GCD(1, 481) = 1
GCD of 721, 679, 459, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 679, 459, 481?
GCD of 721, 679, 459, 481 is 1
2. Where do I get the detailed procedure to find GCD of 721, 679, 459, 481?
You can find a detailed procedure to find GCD of 721, 679, 459, 481 on our page.
3. How to find GCD of 721, 679, 459, 481 on a calculator?
You can find the GCD of 721, 679, 459, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.