GCD of 520, 729, 313, 625 Calculator

Given Input numbers are 520, 729, 313, 625

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 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 520, 729, 313, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 729, 313, 625 is 1.

Therefore, GCD of numbers 520, 729, 313, 625 is 1

Given Input Data is 520, 729, 313, 625

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 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 313 is 313

Prime Factorization of 625 is 5 x 5 x 5 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, 729) = 379080

GCD(520, 729) = ( 520 x 729 ) / 379080

GCD(520, 729) = 379080 / 379080

GCD(520, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

GCD of 520, 729, 313, 625 is 1

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1. What is the GCD of 520, 729, 313, 625?

GCD of 520, 729, 313, 625 is 1

2. Where do I get the detailed procedure to find GCD of 520, 729, 313, 625?

You can find a detailed procedure to find GCD of 520, 729, 313, 625 on our page.

3. How to find GCD of 520, 729, 313, 625 on a calculator?

You can find the GCD of 520, 729, 313, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.