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, 449, 687, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 449, 687, 989 is 1
GCD(41, 449, 687, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 449, 687, 989 is 1
GCD(41, 449, 687, 989) = 1
Given Input numbers are 41, 449, 687, 989
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 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 41, 449, 687, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 449, 687, 989 is 1.
Therefore, GCD of numbers 41, 449, 687, 989 is 1
Given Input Data is 41, 449, 687, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 449 is 449
Prime Factorization of 687 is 3 x 229
Prime Factorization of 989 is 23 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, 449) = 18409
GCD(41, 449) = ( 41 x 449 ) / 18409
GCD(41, 449) = 18409 / 18409
GCD(41, 449) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 41, 449, 687, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 449, 687, 989?
GCD of 41, 449, 687, 989 is 1
2. Where do I get the detailed procedure to find GCD of 41, 449, 687, 989?
You can find a detailed procedure to find GCD of 41, 449, 687, 989 on our page.
3. How to find GCD of 41, 449, 687, 989 on a calculator?
You can find the GCD of 41, 449, 687, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.