GCD of 407, 348, 260, 520 Calculator

Given Input numbers are 407, 348, 260, 520

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 407, 348, 260, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 348, 260, 520 is 1.

Therefore, GCD of numbers 407, 348, 260, 520 is 1

Given Input Data is 407, 348, 260, 520

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

Prime Factorization of 407 is 11 x 37

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(407, 348) = 141636

GCD(407, 348) = ( 407 x 348 ) / 141636

GCD(407, 348) = 141636 / 141636

GCD(407, 348) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 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 407, 348, 260, 520 is 1

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1. What is the GCD of 407, 348, 260, 520?

GCD of 407, 348, 260, 520 is 1

2. Where do I get the detailed procedure to find GCD of 407, 348, 260, 520?

You can find a detailed procedure to find GCD of 407, 348, 260, 520 on our page.

3. How to find GCD of 407, 348, 260, 520 on a calculator?

You can find the GCD of 407, 348, 260, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.