Where do I get the detailed procedure to find GCD of 900, 285, 465?

You can find a detailed procedure to find GCD of 900, 285, 465 on our page.

How to find GCD of 900, 285, 465 on a calculator?

You can find the GCD of 900, 285, 465 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, 285, 465 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, 285, 465 quickly. Get the easiest ways to solve the greatest common divisor of 900, 285, 465 i.e 15 in different methods as follows.

How to Find GCD of Numbers 900, 285, 465 with Factoring?

Given Input numbers are 900, 285, 465

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 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (900, 285, 465) = 15.

Find GCD of 900, 285, 465 using Prime Factorization

Given numbers are 900, 285, 465

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 285 are 3 x 5 x 19

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 900, 285, 465 is 15.

Steps to Calculate GCD of 900, 285, 465 using LCM Formula

Given numbers are 900, 285, 465

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

Apply this formula for all numbers.

Step1:

LCM(900, 285) = 17100

GCD(900, 285) = ( 900 x 285 ) / 17100

= 900 / 285

= 900

Step2:

LCM(15, 465) = 465

GCD(15, 465) = ( 15 x 465 ) / 465

= 15 / 465

= 15

So, Greatest Common Divisor of 900, 285, 465 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 900, 285, 465

Given numbers are 900, 285, 465
The greatest common divisor of numbers 900, 285, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 285, 465 is 15.

FAQs on GCD of 900, 285, 465 Calculator

1. What is the GCD of 900, 285, 465?

GCD of given numbers 900, 285, 465 is 15

2. How to calculate the greatest common divisor of 900, 285, 465?

We can find the highest common divisor of 900, 285, 465 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, 285, 465 i.e 15.

3. How can I use the GCD of 900, 285, 465Calculator?

Out the numbers 900, 285, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.