GCD of 892, 299, 18, 500 Calculator

Given Input numbers are 892, 299, 18, 500

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 299

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

1, 13, 23, 299

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 892, 299, 18, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 299, 18, 500 is 1.

Therefore, GCD of numbers 892, 299, 18, 500 is 1

Given Input Data is 892, 299, 18, 500

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 299 is 13 x 23

Prime Factorization of 18 is 2 x 3 x 3

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

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(892, 299) = 266708

GCD(892, 299) = ( 892 x 299 ) / 266708

GCD(892, 299) = 266708 / 266708

GCD(892, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 892, 299, 18, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 832, 73, 766
• GCD of 683, 291, 75, 622
• GCD of 186, 614, 31, 682
• GCD of 131, 775, 35, 988
• GCD of 892, 683, 74, 884

1. What is the GCD of 892, 299, 18, 500?

GCD of 892, 299, 18, 500 is 1

2. Where do I get the detailed procedure to find GCD of 892, 299, 18, 500?

You can find a detailed procedure to find GCD of 892, 299, 18, 500 on our page.

3. How to find GCD of 892, 299, 18, 500 on a calculator?

You can find the GCD of 892, 299, 18, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.