GCD of 348, 464, 13, 647 Calculator

Given Input numbers are 348, 464, 13, 647

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 348, 464, 13, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 464, 13, 647 is 1.

Therefore, GCD of numbers 348, 464, 13, 647 is 1

Given Input Data is 348, 464, 13, 647

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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

Prime Factorization of 13 is 13

Prime Factorization of 647 is 647

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(348, 464) = 1392

GCD(348, 464) = ( 348 x 464 ) / 1392

GCD(348, 464) = 161472 / 1392

GCD(348, 464) = 116

Step2:

Here we consider the GCD from the above i.e. 116 as first number and the next as 13

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

LCM(116, 13) = 1508

GCD(116, 13) = ( 116 x 13 ) / 1508

GCD(116, 13) = 1508 / 1508

GCD(116, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 348, 464, 13, 647 is 1

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1. What is the GCD of 348, 464, 13, 647?

GCD of 348, 464, 13, 647 is 1

2. Where do I get the detailed procedure to find GCD of 348, 464, 13, 647?

You can find a detailed procedure to find GCD of 348, 464, 13, 647 on our page.

3. How to find GCD of 348, 464, 13, 647 on a calculator?

You can find the GCD of 348, 464, 13, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.