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 513, 899, 17, 881 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 899, 17, 881 is 1
GCD(513, 899, 17, 881) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 899, 17, 881 is 1
GCD(513, 899, 17, 881) = 1
Given Input numbers are 513, 899, 17, 881
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Greatest Common Divisior
We found the divisors of 513, 899, 17, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 899, 17, 881 is 1.
Therefore, GCD of numbers 513, 899, 17, 881 is 1
Given Input Data is 513, 899, 17, 881
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 899 is 29 x 31
Prime Factorization of 17 is 17
Prime Factorization of 881 is 881
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(513, 899) = 461187
GCD(513, 899) = ( 513 x 899 ) / 461187
GCD(513, 899) = 461187 / 461187
GCD(513, 899) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 881) = 881
GCD(1, 881) = ( 1 x 881 ) / 881
GCD(1, 881) = 881 / 881
GCD(1, 881) = 1
GCD of 513, 899, 17, 881 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 899, 17, 881?
GCD of 513, 899, 17, 881 is 1
2. Where do I get the detailed procedure to find GCD of 513, 899, 17, 881?
You can find a detailed procedure to find GCD of 513, 899, 17, 881 on our page.
3. How to find GCD of 513, 899, 17, 881 on a calculator?
You can find the GCD of 513, 899, 17, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.