GCD of 500, 254, 66, 440 Calculator

Given Input numbers are 500, 254, 66, 440

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 500, 254, 66, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 254, 66, 440 is 2.

Therefore, GCD of numbers 500, 254, 66, 440 is 2

Given Input Data is 500, 254, 66, 440

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 254 is 2 x 127

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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, 254) = 63500

GCD(500, 254) = ( 500 x 254 ) / 63500

GCD(500, 254) = 127000 / 63500

GCD(500, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 500, 254, 66, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 712, 32, 939
• GCD of 717, 728, 55, 370
• GCD of 696, 661, 73, 422
• GCD of 435, 234, 38, 603
• GCD of 369, 464, 26, 832

1. What is the GCD of 500, 254, 66, 440?

GCD of 500, 254, 66, 440 is 2

2. Where do I get the detailed procedure to find GCD of 500, 254, 66, 440?

You can find a detailed procedure to find GCD of 500, 254, 66, 440 on our page.

3. How to find GCD of 500, 254, 66, 440 on a calculator?

You can find the GCD of 500, 254, 66, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.