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 24, 449, 104, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 449, 104, 971 is 1
GCD(24, 449, 104, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 449, 104, 971 is 1
GCD(24, 449, 104, 971) = 1
Given Input numbers are 24, 449, 104, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 24, 449, 104, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 449, 104, 971 is 1.
Therefore, GCD of numbers 24, 449, 104, 971 is 1
Given Input Data is 24, 449, 104, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 449 is 449
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 971 is 971
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(24, 449) = 10776
GCD(24, 449) = ( 24 x 449 ) / 10776
GCD(24, 449) = 10776 / 10776
GCD(24, 449) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 24, 449, 104, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 449, 104, 971?
GCD of 24, 449, 104, 971 is 1
2. Where do I get the detailed procedure to find GCD of 24, 449, 104, 971?
You can find a detailed procedure to find GCD of 24, 449, 104, 971 on our page.
3. How to find GCD of 24, 449, 104, 971 on a calculator?
You can find the GCD of 24, 449, 104, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.