Where do I get the detailed procedure to find GCD of 645, 144, 732?

You can find a detailed procedure to find GCD of 645, 144, 732 on our page.

How to find GCD of 645, 144, 732 on a calculator?

You can find the GCD of 645, 144, 732 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, 144, 732 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, 144, 732 quickly. Get the easiest ways to solve the greatest common divisor of 645, 144, 732 i.e 3 in different methods as follows.

How to Find GCD of Numbers 645, 144, 732 with Factoring?

Given Input numbers are 645, 144, 732

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (645, 144, 732) = 3.

Find GCD of 645, 144, 732 using Prime Factorization

Given numbers are 645, 144, 732

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 645, 144, 732 is 3.

Steps to Calculate GCD of 645, 144, 732 using LCM Formula

Given numbers are 645, 144, 732

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

Apply this formula for all numbers.

Step1:

LCM(645, 144) = 30960

GCD(645, 144) = ( 645 x 144 ) / 30960

= 645 / 144

= 645

Step2:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 645, 144, 732 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 645, 144, 732

Given numbers are 645, 144, 732
The greatest common divisor of numbers 645, 144, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 144, 732 is 3.

FAQs on GCD of 645, 144, 732 Calculator

1. What is the GCD of 645, 144, 732?

GCD of given numbers 645, 144, 732 is 3

2. How to calculate the greatest common divisor of 645, 144, 732?

We can find the highest common divisor of 645, 144, 732 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, 144, 732 i.e 3.

3. How can I use the GCD of 645, 144, 732Calculator?

Out the numbers 645, 144, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.