GCD of 210, 130, 300 Calculator

Given Input numbers are 210, 130, 300

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

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 210, 130, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 130, 300 is 10.

Therefore, GCD of numbers 210, 130, 300 is 10

Given Input Data is 210, 130, 300

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

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 300 is 2 x 2 x 3 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(210, 130) = 2730

GCD(210, 130) = ( 210 x 130 ) / 2730

GCD(210, 130) = 27300 / 2730

GCD(210, 130) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 300

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

LCM(10, 300) = 300

GCD(10, 300) = ( 10 x 300 ) / 300

GCD(10, 300) = 3000 / 300

GCD(10, 300) = 10

GCD of 210, 130, 300 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 437, 720
• GCD of 343, 523, 410
• GCD of 285, 890, 437
• GCD of 291, 381, 745
• GCD of 186, 523, 548

1. What is the GCD of 210, 130, 300?

GCD of 210, 130, 300 is 10

2. Where do I get the detailed procedure to find GCD of 210, 130, 300?

You can find a detailed procedure to find GCD of 210, 130, 300 on our page.

3. How to find GCD of 210, 130, 300 on a calculator?

You can find the GCD of 210, 130, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.