GCD of 713, 464, 520, 302 Calculator

Given Input numbers are 713, 464, 520, 302

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 713, 464, 520, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 464, 520, 302 is 1.

Therefore, GCD of numbers 713, 464, 520, 302 is 1

Given Input Data is 713, 464, 520, 302

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 713 is 23 x 31

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 302 is 2 x 151

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(713, 464) = 330832

GCD(713, 464) = ( 713 x 464 ) / 330832

GCD(713, 464) = 330832 / 330832

GCD(713, 464) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 713, 464, 520, 302 is 1

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• GCD of 335, 608, 604, 228
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1. What is the GCD of 713, 464, 520, 302?

GCD of 713, 464, 520, 302 is 1

2. Where do I get the detailed procedure to find GCD of 713, 464, 520, 302?

You can find a detailed procedure to find GCD of 713, 464, 520, 302 on our page.

3. How to find GCD of 713, 464, 520, 302 on a calculator?

You can find the GCD of 713, 464, 520, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.