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 413, 130, 385, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 130, 385, 441 is 1
GCD(413, 130, 385, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 130, 385, 441 is 1
GCD(413, 130, 385, 441) = 1
Given Input numbers are 413, 130, 385, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
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 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 413, 130, 385, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 130, 385, 441 is 1.
Therefore, GCD of numbers 413, 130, 385, 441 is 1
Given Input Data is 413, 130, 385, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(413, 130) = 53690
GCD(413, 130) = ( 413 x 130 ) / 53690
GCD(413, 130) = 53690 / 53690
GCD(413, 130) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
GCD of 413, 130, 385, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 130, 385, 441?
GCD of 413, 130, 385, 441 is 1
2. Where do I get the detailed procedure to find GCD of 413, 130, 385, 441?
You can find a detailed procedure to find GCD of 413, 130, 385, 441 on our page.
3. How to find GCD of 413, 130, 385, 441 on a calculator?
You can find the GCD of 413, 130, 385, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.