Where do I get the detailed procedure to find GCD of 315, 252, 165?

You can find a detailed procedure to find GCD of 315, 252, 165 on our page.

How to find GCD of 315, 252, 165 on a calculator?

You can find the GCD of 315, 252, 165 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 315, 252, 165 Calculator

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

Online GCD Calculator is useful to find the GCD of 315, 252, 165 quickly. Get the easiest ways to solve the greatest common divisor of 315, 252, 165 i.e 3 in different methods as follows.

How to Find GCD of Numbers 315, 252, 165 with Factoring?

Given Input numbers are 315, 252, 165

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

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (315, 252, 165) = 3.

Find GCD of 315, 252, 165 using Prime Factorization

Given numbers are 315, 252, 165

The list of prime factors of all numbers are

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 165 are 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 315, 252, 165 is 3.

Steps to Calculate GCD of 315, 252, 165 using LCM Formula

Given numbers are 315, 252, 165

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

Apply this formula for all numbers.

Step1:

LCM(315, 252) = 1260

GCD(315, 252) = ( 315 x 252 ) / 1260

= 315 / 252

= 315

Step2:

LCM(63, 165) = 3465

GCD(63, 165) = ( 63 x 165 ) / 3465

= 63 / 165

= 63

So, Greatest Common Divisor of 315, 252, 165 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 315, 252, 165

Given numbers are 315, 252, 165
The greatest common divisor of numbers 315, 252, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 252, 165 is 3.

FAQs on GCD of 315, 252, 165 Calculator

1. What is the GCD of 315, 252, 165?

GCD of given numbers 315, 252, 165 is 3

2. How to calculate the greatest common divisor of 315, 252, 165?

We can find the highest common divisor of 315, 252, 165 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 315, 252, 165 i.e 3.

3. How can I use the GCD of 315, 252, 165Calculator?

Out the numbers 315, 252, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.