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 520, 300, 39, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 300, 39, 720 is 1
GCD(520, 300, 39, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 300, 39, 720 is 1
GCD(520, 300, 39, 720) = 1
Given Input numbers are 520, 300, 39, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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
Greatest Common Divisior
We found the divisors of 520, 300, 39, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 300, 39, 720 is 1.
Therefore, GCD of numbers 520, 300, 39, 720 is 1
Given Input Data is 520, 300, 39, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 39 is 3 x 13
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 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(520, 300) = 7800
GCD(520, 300) = ( 520 x 300 ) / 7800
GCD(520, 300) = 156000 / 7800
GCD(520, 300) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 39) = 780
GCD(20, 39) = ( 20 x 39 ) / 780
GCD(20, 39) = 780 / 780
GCD(20, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 520, 300, 39, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 300, 39, 720?
GCD of 520, 300, 39, 720 is 1
2. Where do I get the detailed procedure to find GCD of 520, 300, 39, 720?
You can find a detailed procedure to find GCD of 520, 300, 39, 720 on our page.
3. How to find GCD of 520, 300, 39, 720 on a calculator?
You can find the GCD of 520, 300, 39, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.