GCD of 500, 530, 136, 299 Calculator

Given Input numbers are 500, 530, 136, 299

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

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 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 500, 530, 136, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 530, 136, 299 is 1.

Therefore, GCD of numbers 500, 530, 136, 299 is 1

Given Input Data is 500, 530, 136, 299

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

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 299 is 13 x 23

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(500, 530) = 26500

GCD(500, 530) = ( 500 x 530 ) / 26500

GCD(500, 530) = 265000 / 26500

GCD(500, 530) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 136

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

LCM(10, 136) = 680

GCD(10, 136) = ( 10 x 136 ) / 680

GCD(10, 136) = 1360 / 680

GCD(10, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 500, 530, 136, 299 is 1

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• GCD of 310, 778, 516, 150
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1. What is the GCD of 500, 530, 136, 299?

GCD of 500, 530, 136, 299 is 1

2. Where do I get the detailed procedure to find GCD of 500, 530, 136, 299?

You can find a detailed procedure to find GCD of 500, 530, 136, 299 on our page.

3. How to find GCD of 500, 530, 136, 299 on a calculator?

You can find the GCD of 500, 530, 136, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.