Where do I get the detailed procedure to find GCD of 486, 567, 765?

You can find a detailed procedure to find GCD of 486, 567, 765 on our page.

How to find GCD of 486, 567, 765 on a calculator?

You can find the GCD of 486, 567, 765 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 486, 567, 765 Calculator

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

Online GCD Calculator is useful to find the GCD of 486, 567, 765 quickly. Get the easiest ways to solve the greatest common divisor of 486, 567, 765 i.e 9 in different methods as follows.

How to Find GCD of Numbers 486, 567, 765 with Factoring?

Given Input numbers are 486, 567, 765

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (486, 567, 765) = 9.

Find GCD of 486, 567, 765 using Prime Factorization

Given numbers are 486, 567, 765

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 3²

Therefore, GCD of 486, 567, 765 is 9.

Steps to Calculate GCD of 486, 567, 765 using LCM Formula

Given numbers are 486, 567, 765

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

Apply this formula for all numbers.

Step1:

LCM(486, 567) = 3402

GCD(486, 567) = ( 486 x 567 ) / 3402

= 486 / 567

= 486

Step2:

LCM(81, 765) = 6885

GCD(81, 765) = ( 81 x 765 ) / 6885

= 81 / 765

= 81

So, Greatest Common Divisor of 486, 567, 765 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 486, 567, 765

Given numbers are 486, 567, 765
The greatest common divisor of numbers 486, 567, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 567, 765 is 9.

FAQs on GCD of 486, 567, 765 Calculator

1. What is the GCD of 486, 567, 765?

GCD of given numbers 486, 567, 765 is 9

2. How to calculate the greatest common divisor of 486, 567, 765?

We can find the highest common divisor of 486, 567, 765 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 486, 567, 765 i.e 9.

3. How can I use the GCD of 486, 567, 765Calculator?

Out the numbers 486, 567, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.