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, 817, 71, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 817, 71, 161 is 1
GCD(513, 817, 71, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 817, 71, 161 is 1
GCD(513, 817, 71, 161) = 1
Given Input numbers are 513, 817, 71, 161
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 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 513, 817, 71, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 817, 71, 161 is 1.
Therefore, GCD of numbers 513, 817, 71, 161 is 1
Given Input Data is 513, 817, 71, 161
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 817 is 19 x 43
Prime Factorization of 71 is 71
Prime Factorization of 161 is 7 x 23
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, 817) = 22059
GCD(513, 817) = ( 513 x 817 ) / 22059
GCD(513, 817) = 419121 / 22059
GCD(513, 817) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 71) = 1349
GCD(19, 71) = ( 19 x 71 ) / 1349
GCD(19, 71) = 1349 / 1349
GCD(19, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 513, 817, 71, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 817, 71, 161?
GCD of 513, 817, 71, 161 is 1
2. Where do I get the detailed procedure to find GCD of 513, 817, 71, 161?
You can find a detailed procedure to find GCD of 513, 817, 71, 161 on our page.
3. How to find GCD of 513, 817, 71, 161 on a calculator?
You can find the GCD of 513, 817, 71, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.