GCD of 528, 500, 113, 517 Calculator

Given Input numbers are 528, 500, 113, 517

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 528, 500, 113, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 500, 113, 517 is 1.

Therefore, GCD of numbers 528, 500, 113, 517 is 1

Given Input Data is 528, 500, 113, 517

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 113 is 113

Prime Factorization of 517 is 11 x 47

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(528, 500) = 66000

GCD(528, 500) = ( 528 x 500 ) / 66000

GCD(528, 500) = 264000 / 66000

GCD(528, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 113

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

LCM(4, 113) = 452

GCD(4, 113) = ( 4 x 113 ) / 452

GCD(4, 113) = 452 / 452

GCD(4, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 528, 500, 113, 517 is 1

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• GCD of 471, 404, 448, 445
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• GCD of 624, 369, 267, 807

1. What is the GCD of 528, 500, 113, 517?

GCD of 528, 500, 113, 517 is 1

2. Where do I get the detailed procedure to find GCD of 528, 500, 113, 517?

You can find a detailed procedure to find GCD of 528, 500, 113, 517 on our page.

3. How to find GCD of 528, 500, 113, 517 on a calculator?

You can find the GCD of 528, 500, 113, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.