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 265, 961, 728, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 961, 728, 726 is 1
GCD(265, 961, 728, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 961, 728, 726 is 1
GCD(265, 961, 728, 726) = 1
Given Input numbers are 265, 961, 728, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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
Greatest Common Divisior
We found the divisors of 265, 961, 728, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 961, 728, 726 is 1.
Therefore, GCD of numbers 265, 961, 728, 726 is 1
Given Input Data is 265, 961, 728, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 961 is 31 x 31
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 726 is 2 x 3 x 11 x 11
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(265, 961) = 254665
GCD(265, 961) = ( 265 x 961 ) / 254665
GCD(265, 961) = 254665 / 254665
GCD(265, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
Step3:
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
GCD of 265, 961, 728, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 961, 728, 726?
GCD of 265, 961, 728, 726 is 1
2. Where do I get the detailed procedure to find GCD of 265, 961, 728, 726?
You can find a detailed procedure to find GCD of 265, 961, 728, 726 on our page.
3. How to find GCD of 265, 961, 728, 726 on a calculator?
You can find the GCD of 265, 961, 728, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.