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 984, 652, 726, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 652, 726, 447 is 1
GCD(984, 652, 726, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 652, 726, 447 is 1
GCD(984, 652, 726, 447) = 1
Given Input numbers are 984, 652, 726, 447
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Greatest Common Divisior
We found the divisors of 984, 652, 726, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 652, 726, 447 is 1.
Therefore, GCD of numbers 984, 652, 726, 447 is 1
Given Input Data is 984, 652, 726, 447
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 447 is 3 x 149
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(984, 652) = 160392
GCD(984, 652) = ( 984 x 652 ) / 160392
GCD(984, 652) = 641568 / 160392
GCD(984, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 726) = 1452
GCD(4, 726) = ( 4 x 726 ) / 1452
GCD(4, 726) = 2904 / 1452
GCD(4, 726) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 447) = 894
GCD(2, 447) = ( 2 x 447 ) / 894
GCD(2, 447) = 894 / 894
GCD(2, 447) = 1
GCD of 984, 652, 726, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 652, 726, 447?
GCD of 984, 652, 726, 447 is 1
2. Where do I get the detailed procedure to find GCD of 984, 652, 726, 447?
You can find a detailed procedure to find GCD of 984, 652, 726, 447 on our page.
3. How to find GCD of 984, 652, 726, 447 on a calculator?
You can find the GCD of 984, 652, 726, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.