GCD of 180, 650, 500 Calculator

Given Input numbers are 180, 650, 500

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 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

Greatest Common Divisior

We found the divisors of 180, 650, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 650, 500 is 10.

Therefore, GCD of numbers 180, 650, 500 is 10

Given Input Data is 180, 650, 500

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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

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

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(180, 650) = 11700

GCD(180, 650) = ( 180 x 650 ) / 11700

GCD(180, 650) = 117000 / 11700

GCD(180, 650) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 500

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

LCM(10, 500) = 500

GCD(10, 500) = ( 10 x 500 ) / 500

GCD(10, 500) = 5000 / 500

GCD(10, 500) = 10

GCD of 180, 650, 500 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 864, 257
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1. What is the GCD of 180, 650, 500?

GCD of 180, 650, 500 is 10

2. Where do I get the detailed procedure to find GCD of 180, 650, 500?

You can find a detailed procedure to find GCD of 180, 650, 500 on our page.

3. How to find GCD of 180, 650, 500 on a calculator?

You can find the GCD of 180, 650, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.