Where do I get the detailed procedure to find GCD of 200, 900, 585?

You can find a detailed procedure to find GCD of 200, 900, 585 on our page.

How to find GCD of 200, 900, 585 on a calculator?

You can find the GCD of 200, 900, 585 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 200, 900, 585 Calculator

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

Online GCD Calculator is useful to find the GCD of 200, 900, 585 quickly. Get the easiest ways to solve the greatest common divisor of 200, 900, 585 i.e 5 in different methods as follows.

How to Find GCD of Numbers 200, 900, 585 with Factoring?

Given Input numbers are 200, 900, 585

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (200, 900, 585) = 5.

Find GCD of 200, 900, 585 using Prime Factorization

Given numbers are 200, 900, 585

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Prime factors of 585 are 3 x 3 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 200, 900, 585 is 5.

Steps to Calculate GCD of 200, 900, 585 using LCM Formula

Given numbers are 200, 900, 585

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

Apply this formula for all numbers.

Step1:

LCM(200, 900) = 1800

GCD(200, 900) = ( 200 x 900 ) / 1800

= 200 / 900

= 200

Step2:

LCM(100, 585) = 11700

GCD(100, 585) = ( 100 x 585 ) / 11700

= 100 / 585

= 100

So, Greatest Common Divisor of 200, 900, 585 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 200, 900, 585

Given numbers are 200, 900, 585
The greatest common divisor of numbers 200, 900, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 900, 585 is 5.

FAQs on GCD of 200, 900, 585 Calculator

1. What is the GCD of 200, 900, 585?

GCD of given numbers 200, 900, 585 is 5

2. How to calculate the greatest common divisor of 200, 900, 585?

We can find the highest common divisor of 200, 900, 585 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 200, 900, 585 i.e 5.

3. How can I use the GCD of 200, 900, 585Calculator?

Out the numbers 200, 900, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.