GCD of 500, 154, 248 Calculator

Given Input numbers are 500, 154, 248

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 500, 154, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 154, 248 is 2.

Therefore, GCD of numbers 500, 154, 248 is 2

Given Input Data is 500, 154, 248

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 154 is 2 x 7 x 11

Prime Factorization of 248 is 2 x 2 x 2 x 31

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, 154) = 38500

GCD(500, 154) = ( 500 x 154 ) / 38500

GCD(500, 154) = 77000 / 38500

GCD(500, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

GCD of 500, 154, 248 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 400, 589
• GCD of 154, 259, 927
• GCD of 927, 624, 960
• GCD of 984, 828, 723
• GCD of 333, 789, 765

1. What is the GCD of 500, 154, 248?

GCD of 500, 154, 248 is 2

2. Where do I get the detailed procedure to find GCD of 500, 154, 248?

You can find a detailed procedure to find GCD of 500, 154, 248 on our page.

3. How to find GCD of 500, 154, 248 on a calculator?

You can find the GCD of 500, 154, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.