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 726, 581, 85, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 581, 85, 438 is 1
GCD(726, 581, 85, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 581, 85, 438 is 1
GCD(726, 581, 85, 438) = 1
Given Input numbers are 726, 581, 85, 438
To find the GCD of numbers using factoring list out all the divisors of each number
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 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 726, 581, 85, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 581, 85, 438 is 1.
Therefore, GCD of numbers 726, 581, 85, 438 is 1
Given Input Data is 726, 581, 85, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 581 is 7 x 83
Prime Factorization of 85 is 5 x 17
Prime Factorization of 438 is 2 x 3 x 73
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(726, 581) = 421806
GCD(726, 581) = ( 726 x 581 ) / 421806
GCD(726, 581) = 421806 / 421806
GCD(726, 581) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 726, 581, 85, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 581, 85, 438?
GCD of 726, 581, 85, 438 is 1
2. Where do I get the detailed procedure to find GCD of 726, 581, 85, 438?
You can find a detailed procedure to find GCD of 726, 581, 85, 438 on our page.
3. How to find GCD of 726, 581, 85, 438 on a calculator?
You can find the GCD of 726, 581, 85, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.