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, 640, 27, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 640, 27, 345 is 1
GCD(509, 640, 27, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 640, 27, 345 is 1
GCD(509, 640, 27, 345) = 1
Given Input numbers are 509, 640, 27, 345
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 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 509, 640, 27, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 640, 27, 345 is 1.
Therefore, GCD of numbers 509, 640, 27, 345 is 1
Given Input Data is 509, 640, 27, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 345 is 3 x 5 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(509, 640) = 325760
GCD(509, 640) = ( 509 x 640 ) / 325760
GCD(509, 640) = 325760 / 325760
GCD(509, 640) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 509, 640, 27, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 640, 27, 345?
GCD of 509, 640, 27, 345 is 1
2. Where do I get the detailed procedure to find GCD of 509, 640, 27, 345?
You can find a detailed procedure to find GCD of 509, 640, 27, 345 on our page.
3. How to find GCD of 509, 640, 27, 345 on a calculator?
You can find the GCD of 509, 640, 27, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.