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 715, 520, 409, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 520, 409, 520 is 1
GCD(715, 520, 409, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 520, 409, 520 is 1
GCD(715, 520, 409, 520) = 1
Given Input numbers are 715, 520, 409, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
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 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
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
Greatest Common Divisior
We found the divisors of 715, 520, 409, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 520, 409, 520 is 1.
Therefore, GCD of numbers 715, 520, 409, 520 is 1
Given Input Data is 715, 520, 409, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 409 is 409
Prime Factorization of 520 is 2 x 2 x 2 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(715, 520) = 5720
GCD(715, 520) = ( 715 x 520 ) / 5720
GCD(715, 520) = 371800 / 5720
GCD(715, 520) = 65
Step2:
Here we consider the GCD from the above i.e. 65 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(65, 409) = 26585
GCD(65, 409) = ( 65 x 409 ) / 26585
GCD(65, 409) = 26585 / 26585
GCD(65, 409) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 715, 520, 409, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 520, 409, 520?
GCD of 715, 520, 409, 520 is 1
2. Where do I get the detailed procedure to find GCD of 715, 520, 409, 520?
You can find a detailed procedure to find GCD of 715, 520, 409, 520 on our page.
3. How to find GCD of 715, 520, 409, 520 on a calculator?
You can find the GCD of 715, 520, 409, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.