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, 593, 726, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 593, 726, 964 is 1
GCD(724, 593, 726, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 593, 726, 964 is 1
GCD(724, 593, 726, 964) = 1
Given Input numbers are 724, 593, 726, 964
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 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
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 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 724, 593, 726, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 593, 726, 964 is 1.
Therefore, GCD of numbers 724, 593, 726, 964 is 1
Given Input Data is 724, 593, 726, 964
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 593 is 593
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 964 is 2 x 2 x 241
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, 593) = 429332
GCD(724, 593) = ( 724 x 593 ) / 429332
GCD(724, 593) = 429332 / 429332
GCD(724, 593) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 724, 593, 726, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 593, 726, 964?
GCD of 724, 593, 726, 964 is 1
2. Where do I get the detailed procedure to find GCD of 724, 593, 726, 964?
You can find a detailed procedure to find GCD of 724, 593, 726, 964 on our page.
3. How to find GCD of 724, 593, 726, 964 on a calculator?
You can find the GCD of 724, 593, 726, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.