Where do I get the detailed procedure to find GCD of 405, 945, 315?

You can find a detailed procedure to find GCD of 405, 945, 315 on our page.

How to find GCD of 405, 945, 315 on a calculator?

You can find the GCD of 405, 945, 315 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 405, 945, 315 Calculator

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

Online GCD Calculator is useful to find the GCD of 405, 945, 315 quickly. Get the easiest ways to solve the greatest common divisor of 405, 945, 315 i.e 45 in different methods as follows.

How to Find GCD of Numbers 405, 945, 315 with Factoring?

Given Input numbers are 405, 945, 315

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

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (405, 945, 315) = 45.

Find GCD of 405, 945, 315 using Prime Factorization

Given numbers are 405, 945, 315

The list of prime factors of all numbers are

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 3² x 5¹

Therefore, GCD of 405, 945, 315 is 45.

Steps to Calculate GCD of 405, 945, 315 using LCM Formula

Given numbers are 405, 945, 315

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

Apply this formula for all numbers.

Step1:

LCM(405, 945) = 2835

GCD(405, 945) = ( 405 x 945 ) / 2835

= 405 / 945

= 405

Step2:

LCM(135, 315) = 945

GCD(135, 315) = ( 135 x 315 ) / 945

= 135 / 315

= 135

So, Greatest Common Divisor of 405, 945, 315 is 45

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 405, 945, 315

Given numbers are 405, 945, 315
The greatest common divisor of numbers 405, 945, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 945, 315 is 45.

FAQs on GCD of 405, 945, 315 Calculator

1. What is the GCD of 405, 945, 315?

GCD of given numbers 405, 945, 315 is 45

2. How to calculate the greatest common divisor of 405, 945, 315?

We can find the highest common divisor of 405, 945, 315 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 405, 945, 315 i.e 45.

3. How can I use the GCD of 405, 945, 315Calculator?

Out the numbers 405, 945, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.