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 509, 257, 81, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 257, 81, 160 is 1
GCD(509, 257, 81, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 257, 81, 160 is 1
GCD(509, 257, 81, 160) = 1
Given Input numbers are 509, 257, 81, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 509, 257, 81, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 257, 81, 160 is 1.
Therefore, GCD of numbers 509, 257, 81, 160 is 1
Given Input Data is 509, 257, 81, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 257 is 257
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(509, 257) = 130813
GCD(509, 257) = ( 509 x 257 ) / 130813
GCD(509, 257) = 130813 / 130813
GCD(509, 257) = 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 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 509, 257, 81, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 257, 81, 160?
GCD of 509, 257, 81, 160 is 1
2. Where do I get the detailed procedure to find GCD of 509, 257, 81, 160?
You can find a detailed procedure to find GCD of 509, 257, 81, 160 on our page.
3. How to find GCD of 509, 257, 81, 160 on a calculator?
You can find the GCD of 509, 257, 81, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.