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, 560, 397, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 560, 397, 304 is 1
GCD(41, 560, 397, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 560, 397, 304 is 1
GCD(41, 560, 397, 304) = 1
Given Input numbers are 41, 560, 397, 304
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 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 41, 560, 397, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 560, 397, 304 is 1.
Therefore, GCD of numbers 41, 560, 397, 304 is 1
Given Input Data is 41, 560, 397, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 397 is 397
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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, 560) = 22960
GCD(41, 560) = ( 41 x 560 ) / 22960
GCD(41, 560) = 22960 / 22960
GCD(41, 560) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 41, 560, 397, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 560, 397, 304?
GCD of 41, 560, 397, 304 is 1
2. Where do I get the detailed procedure to find GCD of 41, 560, 397, 304?
You can find a detailed procedure to find GCD of 41, 560, 397, 304 on our page.
3. How to find GCD of 41, 560, 397, 304 on a calculator?
You can find the GCD of 41, 560, 397, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.