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 435, 509, 647, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 435, 509, 647, 390 is 1
GCD(435, 509, 647, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 435, 509, 647, 390 is 1
GCD(435, 509, 647, 390) = 1
Given Input numbers are 435, 509, 647, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 435, 509, 647, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 509, 647, 390 is 1.
Therefore, GCD of numbers 435, 509, 647, 390 is 1
Given Input Data is 435, 509, 647, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 509 is 509
Prime Factorization of 647 is 647
Prime Factorization of 390 is 2 x 3 x 5 x 13
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(435, 509) = 221415
GCD(435, 509) = ( 435 x 509 ) / 221415
GCD(435, 509) = 221415 / 221415
GCD(435, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 647) = 647
GCD(1, 647) = ( 1 x 647 ) / 647
GCD(1, 647) = 647 / 647
GCD(1, 647) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 435, 509, 647, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 435, 509, 647, 390?
GCD of 435, 509, 647, 390 is 1
2. Where do I get the detailed procedure to find GCD of 435, 509, 647, 390?
You can find a detailed procedure to find GCD of 435, 509, 647, 390 on our page.
3. How to find GCD of 435, 509, 647, 390 on a calculator?
You can find the GCD of 435, 509, 647, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.