GCD of 500, 146, 282, 226 Calculator

Given Input numbers are 500, 146, 282, 226

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 500, 146, 282, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 146, 282, 226 is 2.

Therefore, GCD of numbers 500, 146, 282, 226 is 2

Given Input Data is 500, 146, 282, 226

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 146 is 2 x 73

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 226 is 2 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 146) = 36500

GCD(500, 146) = ( 500 x 146 ) / 36500

GCD(500, 146) = 73000 / 36500

GCD(500, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 500, 146, 282, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 688, 660, 912
• GCD of 550, 112, 440, 657
• GCD of 806, 843, 274, 961
• GCD of 562, 619, 100, 796
• GCD of 464, 787, 642, 967

1. What is the GCD of 500, 146, 282, 226?

GCD of 500, 146, 282, 226 is 2

2. Where do I get the detailed procedure to find GCD of 500, 146, 282, 226?

You can find a detailed procedure to find GCD of 500, 146, 282, 226 on our page.

3. How to find GCD of 500, 146, 282, 226 on a calculator?

You can find the GCD of 500, 146, 282, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.