GCD of 514, 824, 520, 407 Calculator

Given Input numbers are 514, 824, 520, 407

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 407

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

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 514, 824, 520, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 824, 520, 407 is 1.

Therefore, GCD of numbers 514, 824, 520, 407 is 1

Given Input Data is 514, 824, 520, 407

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 407 is 11 x 37

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(514, 824) = 211768

GCD(514, 824) = ( 514 x 824 ) / 211768

GCD(514, 824) = 423536 / 211768

GCD(514, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 514, 824, 520, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 147, 762, 464
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1. What is the GCD of 514, 824, 520, 407?

GCD of 514, 824, 520, 407 is 1

2. Where do I get the detailed procedure to find GCD of 514, 824, 520, 407?

You can find a detailed procedure to find GCD of 514, 824, 520, 407 on our page.

3. How to find GCD of 514, 824, 520, 407 on a calculator?

You can find the GCD of 514, 824, 520, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.