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 724, 652, 283, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 652, 283, 671 is 1
GCD(724, 652, 283, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 652, 283, 671 is 1
GCD(724, 652, 283, 671) = 1
Given Input numbers are 724, 652, 283, 671
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 724, 652, 283, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 652, 283, 671 is 1.
Therefore, GCD of numbers 724, 652, 283, 671 is 1
Given Input Data is 724, 652, 283, 671
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 283 is 283
Prime Factorization of 671 is 11 x 61
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(724, 652) = 118012
GCD(724, 652) = ( 724 x 652 ) / 118012
GCD(724, 652) = 472048 / 118012
GCD(724, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 283) = 1132
GCD(4, 283) = ( 4 x 283 ) / 1132
GCD(4, 283) = 1132 / 1132
GCD(4, 283) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
GCD of 724, 652, 283, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 652, 283, 671?
GCD of 724, 652, 283, 671 is 1
2. Where do I get the detailed procedure to find GCD of 724, 652, 283, 671?
You can find a detailed procedure to find GCD of 724, 652, 283, 671 on our page.
3. How to find GCD of 724, 652, 283, 671 on a calculator?
You can find the GCD of 724, 652, 283, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.