GCD of 18, 500, 650, 148 Calculator

Given Input numbers are 18, 500, 650, 148

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

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 18, 500, 650, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 500, 650, 148 is 2.

Therefore, GCD of numbers 18, 500, 650, 148 is 2

Given Input Data is 18, 500, 650, 148

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 148 is 2 x 2 x 37

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(18, 500) = 4500

GCD(18, 500) = ( 18 x 500 ) / 4500

GCD(18, 500) = 9000 / 4500

GCD(18, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 18, 500, 650, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 912, 262, 389
• GCD of 50, 197, 469, 142
• GCD of 42, 477, 915, 750
• GCD of 60, 550, 282, 830
• GCD of 76, 723, 110, 329

1. What is the GCD of 18, 500, 650, 148?

GCD of 18, 500, 650, 148 is 2

2. Where do I get the detailed procedure to find GCD of 18, 500, 650, 148?

You can find a detailed procedure to find GCD of 18, 500, 650, 148 on our page.

3. How to find GCD of 18, 500, 650, 148 on a calculator?

You can find the GCD of 18, 500, 650, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.