GCD of 514, 469, 725, 520 Calculator

Given Input numbers are 514, 469, 725, 520

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 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

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 514, 469, 725, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 469, 725, 520 is 1.

Therefore, GCD of numbers 514, 469, 725, 520 is 1

Given Input Data is 514, 469, 725, 520

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 469 is 7 x 67

Prime Factorization of 725 is 5 x 5 x 29

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(514, 469) = 241066

GCD(514, 469) = ( 514 x 469 ) / 241066

GCD(514, 469) = 241066 / 241066

GCD(514, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 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 514, 469, 725, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 604, 396, 408
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• GCD of 767, 137, 859, 470
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• GCD of 181, 614, 499, 292

1. What is the GCD of 514, 469, 725, 520?

GCD of 514, 469, 725, 520 is 1

2. Where do I get the detailed procedure to find GCD of 514, 469, 725, 520?

You can find a detailed procedure to find GCD of 514, 469, 725, 520 on our page.

3. How to find GCD of 514, 469, 725, 520 on a calculator?

You can find the GCD of 514, 469, 725, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.