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 650, 385, 39, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 650, 385, 39, 509 is 1
GCD(650, 385, 39, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 650, 385, 39, 509 is 1
GCD(650, 385, 39, 509) = 1
Given Input numbers are 650, 385, 39, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 650, 385, 39, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 385, 39, 509 is 1.
Therefore, GCD of numbers 650, 385, 39, 509 is 1
Given Input Data is 650, 385, 39, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 39 is 3 x 13
Prime Factorization of 509 is 509
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(650, 385) = 50050
GCD(650, 385) = ( 650 x 385 ) / 50050
GCD(650, 385) = 250250 / 50050
GCD(650, 385) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 39) = 195
GCD(5, 39) = ( 5 x 39 ) / 195
GCD(5, 39) = 195 / 195
GCD(5, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 650, 385, 39, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 650, 385, 39, 509?
GCD of 650, 385, 39, 509 is 1
2. Where do I get the detailed procedure to find GCD of 650, 385, 39, 509?
You can find a detailed procedure to find GCD of 650, 385, 39, 509 on our page.
3. How to find GCD of 650, 385, 39, 509 on a calculator?
You can find the GCD of 650, 385, 39, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.