Where do I get the detailed procedure to find GCD of 900, 180, 130?

You can find a detailed procedure to find GCD of 900, 180, 130 on our page.

How to find GCD of 900, 180, 130 on a calculator?

You can find the GCD of 900, 180, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 900, 180, 130 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 900, 180, 130 quickly. Get the easiest ways to solve the greatest common divisor of 900, 180, 130 i.e 10 in different methods as follows.

How to Find GCD of Numbers 900, 180, 130 with Factoring?

Given Input numbers are 900, 180, 130

In the factoring method, we have to find the divisors of all numbers

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (900, 180, 130) = 10.

Find GCD of 900, 180, 130 using Prime Factorization

Given numbers are 900, 180, 130

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 900, 180, 130 is 10.

Steps to Calculate GCD of 900, 180, 130 using LCM Formula

Given numbers are 900, 180, 130

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(900, 180) = 900

GCD(900, 180) = ( 900 x 180 ) / 900

= 900 / 180

= 900

Step2:

LCM(180, 130) = 2340

GCD(180, 130) = ( 180 x 130 ) / 2340

= 180 / 130

= 180

So, Greatest Common Divisor of 900, 180, 130 is 10

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 900, 180, 130

Given numbers are 900, 180, 130
The greatest common divisor of numbers 900, 180, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 180, 130 is 10.

FAQs on GCD of 900, 180, 130 Calculator

1. What is the GCD of 900, 180, 130?

GCD of given numbers 900, 180, 130 is 10

2. How to calculate the greatest common divisor of 900, 180, 130?

We can find the highest common divisor of 900, 180, 130 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 900, 180, 130 i.e 10.

3. How can I use the GCD of 900, 180, 130Calculator?

Out the numbers 900, 180, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.