GCD of 38, 520, 686, 427 Calculator

Given Input numbers are 38, 520, 686, 427

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 38, 520, 686, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 520, 686, 427 is 1.

Therefore, GCD of numbers 38, 520, 686, 427 is 1

Given Input Data is 38, 520, 686, 427

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

Prime Factorization of 38 is 2 x 19

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 427 is 7 x 61

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(38, 520) = 9880

GCD(38, 520) = ( 38 x 520 ) / 9880

GCD(38, 520) = 19760 / 9880

GCD(38, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

GCD of 38, 520, 686, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 398, 210, 261
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• GCD of 65, 176, 811, 625

1. What is the GCD of 38, 520, 686, 427?

GCD of 38, 520, 686, 427 is 1

2. Where do I get the detailed procedure to find GCD of 38, 520, 686, 427?

You can find a detailed procedure to find GCD of 38, 520, 686, 427 on our page.

3. How to find GCD of 38, 520, 686, 427 on a calculator?

You can find the GCD of 38, 520, 686, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.