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 41, 726, 130, 903 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 726, 130, 903 is 1
GCD(41, 726, 130, 903) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 726, 130, 903 is 1
GCD(41, 726, 130, 903) = 1
Given Input numbers are 41, 726, 130, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Greatest Common Divisior
We found the divisors of 41, 726, 130, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 726, 130, 903 is 1.
Therefore, GCD of numbers 41, 726, 130, 903 is 1
Given Input Data is 41, 726, 130, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 903 is 3 x 7 x 43
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(41, 726) = 29766
GCD(41, 726) = ( 41 x 726 ) / 29766
GCD(41, 726) = 29766 / 29766
GCD(41, 726) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 903) = 903
GCD(1, 903) = ( 1 x 903 ) / 903
GCD(1, 903) = 903 / 903
GCD(1, 903) = 1
GCD of 41, 726, 130, 903 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 726, 130, 903?
GCD of 41, 726, 130, 903 is 1
2. Where do I get the detailed procedure to find GCD of 41, 726, 130, 903?
You can find a detailed procedure to find GCD of 41, 726, 130, 903 on our page.
3. How to find GCD of 41, 726, 130, 903 on a calculator?
You can find the GCD of 41, 726, 130, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.