GCD of 106, 500, 56, 185 Calculator

Given Input numbers are 106, 500, 56, 185

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 106, 500, 56, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 500, 56, 185 is 1.

Therefore, GCD of numbers 106, 500, 56, 185 is 1

Given Input Data is 106, 500, 56, 185

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

Prime Factorization of 106 is 2 x 53

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 185 is 5 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(106, 500) = 26500

GCD(106, 500) = ( 106 x 500 ) / 26500

GCD(106, 500) = 53000 / 26500

GCD(106, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 106, 500, 56, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 149, 13, 784
• GCD of 394, 635, 78, 839
• GCD of 330, 377, 56, 125
• GCD of 304, 682, 70, 838
• GCD of 153, 680, 93, 141

1. What is the GCD of 106, 500, 56, 185?

GCD of 106, 500, 56, 185 is 1

2. Where do I get the detailed procedure to find GCD of 106, 500, 56, 185?

You can find a detailed procedure to find GCD of 106, 500, 56, 185 on our page.

3. How to find GCD of 106, 500, 56, 185 on a calculator?

You can find the GCD of 106, 500, 56, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.