Where do I get the detailed procedure to find GCD of 285, 525, 135?

You can find a detailed procedure to find GCD of 285, 525, 135 on our page.

How to find GCD of 285, 525, 135 on a calculator?

You can find the GCD of 285, 525, 135 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 285, 525, 135 Calculator

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

Online GCD Calculator is useful to find the GCD of 285, 525, 135 quickly. Get the easiest ways to solve the greatest common divisor of 285, 525, 135 i.e 15 in different methods as follows.

How to Find GCD of Numbers 285, 525, 135 with Factoring?

Given Input numbers are 285, 525, 135

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

Divisors of 285 :

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

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (285, 525, 135) = 15.

Find GCD of 285, 525, 135 using Prime Factorization

Given numbers are 285, 525, 135

The list of prime factors of all numbers are

Prime factors of 285 are 3 x 5 x 19

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 285, 525, 135 is 15.

Steps to Calculate GCD of 285, 525, 135 using LCM Formula

Given numbers are 285, 525, 135

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

Apply this formula for all numbers.

Step1:

LCM(285, 525) = 9975

GCD(285, 525) = ( 285 x 525 ) / 9975

= 285 / 525

= 285

Step2:

LCM(15, 135) = 135

GCD(15, 135) = ( 15 x 135 ) / 135

= 15 / 135

= 15

So, Greatest Common Divisor of 285, 525, 135 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 285, 525, 135

Given numbers are 285, 525, 135
The greatest common divisor of numbers 285, 525, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 525, 135 is 15.

FAQs on GCD of 285, 525, 135 Calculator

1. What is the GCD of 285, 525, 135?

GCD of given numbers 285, 525, 135 is 15

2. How to calculate the greatest common divisor of 285, 525, 135?

We can find the highest common divisor of 285, 525, 135 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 285, 525, 135 i.e 15.

3. How can I use the GCD of 285, 525, 135Calculator?

Out the numbers 285, 525, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.