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, 343, 46, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 343, 46, 805 is 1
GCD(726, 343, 46, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 343, 46, 805 is 1
GCD(726, 343, 46, 805) = 1
Given Input numbers are 726, 343, 46, 805
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 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 726, 343, 46, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 343, 46, 805 is 1.
Therefore, GCD of numbers 726, 343, 46, 805 is 1
Given Input Data is 726, 343, 46, 805
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 343 is 7 x 7 x 7
Prime Factorization of 46 is 2 x 23
Prime Factorization of 805 is 5 x 7 x 23
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, 343) = 249018
GCD(726, 343) = ( 726 x 343 ) / 249018
GCD(726, 343) = 249018 / 249018
GCD(726, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 726, 343, 46, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 343, 46, 805?
GCD of 726, 343, 46, 805 is 1
2. Where do I get the detailed procedure to find GCD of 726, 343, 46, 805?
You can find a detailed procedure to find GCD of 726, 343, 46, 805 on our page.
3. How to find GCD of 726, 343, 46, 805 on a calculator?
You can find the GCD of 726, 343, 46, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.