Where do I get the detailed procedure to find GCD of 645, 309, 543?

You can find a detailed procedure to find GCD of 645, 309, 543 on our page.

How to find GCD of 645, 309, 543 on a calculator?

You can find the GCD of 645, 309, 543 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 645, 309, 543 Calculator

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

Online GCD Calculator is useful to find the GCD of 645, 309, 543 quickly. Get the easiest ways to solve the greatest common divisor of 645, 309, 543 i.e 3 in different methods as follows.

How to Find GCD of Numbers 645, 309, 543 with Factoring?

Given Input numbers are 645, 309, 543

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (645, 309, 543) = 3.

Find GCD of 645, 309, 543 using Prime Factorization

Given numbers are 645, 309, 543

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 309 are 3 x 103

Prime factors of 543 are 3 x 181

The highest common occurrence is 3¹

Therefore, GCD of 645, 309, 543 is 3.

Steps to Calculate GCD of 645, 309, 543 using LCM Formula

Given numbers are 645, 309, 543

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

Apply this formula for all numbers.

Step1:

LCM(645, 309) = 66435

GCD(645, 309) = ( 645 x 309 ) / 66435

= 645 / 309

= 645

Step2:

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

= 3 / 543

= 3

So, Greatest Common Divisor of 645, 309, 543 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 645, 309, 543

Given numbers are 645, 309, 543
The greatest common divisor of numbers 645, 309, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 309, 543 is 3.

FAQs on GCD of 645, 309, 543 Calculator

1. What is the GCD of 645, 309, 543?

GCD of given numbers 645, 309, 543 is 3

2. How to calculate the greatest common divisor of 645, 309, 543?

We can find the highest common divisor of 645, 309, 543 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 645, 309, 543 i.e 3.

3. How can I use the GCD of 645, 309, 543Calculator?

Out the numbers 645, 309, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.