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, 107, 81, 889 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 107, 81, 889 is 1
GCD(513, 107, 81, 889) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 107, 81, 889 is 1
GCD(513, 107, 81, 889) = 1
Given Input numbers are 513, 107, 81, 889
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 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Greatest Common Divisior
We found the divisors of 513, 107, 81, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 107, 81, 889 is 1.
Therefore, GCD of numbers 513, 107, 81, 889 is 1
Given Input Data is 513, 107, 81, 889
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 107 is 107
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 889 is 7 x 127
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, 107) = 54891
GCD(513, 107) = ( 513 x 107 ) / 54891
GCD(513, 107) = 54891 / 54891
GCD(513, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
GCD(1, 889) = 889 / 889
GCD(1, 889) = 1
GCD of 513, 107, 81, 889 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 107, 81, 889?
GCD of 513, 107, 81, 889 is 1
2. Where do I get the detailed procedure to find GCD of 513, 107, 81, 889?
You can find a detailed procedure to find GCD of 513, 107, 81, 889 on our page.
3. How to find GCD of 513, 107, 81, 889 on a calculator?
You can find the GCD of 513, 107, 81, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.