GCD of 720, 802, 509 Calculator
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 720, 802, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 802, 509 is 1
GCD(720, 802, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 802, 509 is 1
GCD(720, 802, 509) = 1
GCDof 720,802,509 is 1
Given Input numbers are 720, 802, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
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 720, 802, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 802, 509 is 1.
Therefore, GCD of numbers 720, 802, 509 is 1
Given Input Data is 720, 802, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 802 is 2 x 401
Prime Factorization of 509 is 509
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 720, 802, 509 using LCM Formula
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(720, 802) = 288720
GCD(720, 802) = ( 720 x 802 ) / 288720
GCD(720, 802) = 577440 / 288720
GCD(720, 802) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 509) = 1018
GCD(2, 509) = ( 2 x 509 ) / 1018
GCD(2, 509) = 1018 / 1018
GCD(2, 509) = 1
GCD of 720, 802, 509 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 720, 802, 509
1. What is the GCD of 720, 802, 509?
GCD of 720, 802, 509 is 1
2. Where do I get the detailed procedure to find GCD of 720, 802, 509?
You can find a detailed procedure to find GCD of 720, 802, 509 on our page.
3. How to find GCD of 720, 802, 509 on a calculator?
You can find the GCD of 720, 802, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.