GCD of 180, 815, 210 Calculator

Given Input numbers are 180, 815, 210

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 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 180, 815, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 815, 210 is 5.

Therefore, GCD of numbers 180, 815, 210 is 5

Given Input Data is 180, 815, 210

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 815 is 5 x 163

Prime Factorization of 210 is 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 815) = 29340

GCD(180, 815) = ( 180 x 815 ) / 29340

GCD(180, 815) = 146700 / 29340

GCD(180, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 210

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

LCM(5, 210) = 210

GCD(5, 210) = ( 5 x 210 ) / 210

GCD(5, 210) = 1050 / 210

GCD(5, 210) = 5

GCD of 180, 815, 210 is 5

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1. What is the GCD of 180, 815, 210?

GCD of 180, 815, 210 is 5

2. Where do I get the detailed procedure to find GCD of 180, 815, 210?

You can find a detailed procedure to find GCD of 180, 815, 210 on our page.

3. How to find GCD of 180, 815, 210 on a calculator?

You can find the GCD of 180, 815, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.