Where do I get the detailed procedure to find GCD of 414, 384, 753?

You can find a detailed procedure to find GCD of 414, 384, 753 on our page.

How to find GCD of 414, 384, 753 on a calculator?

You can find the GCD of 414, 384, 753 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 414, 384, 753 Calculator

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

Online GCD Calculator is useful to find the GCD of 414, 384, 753 quickly. Get the easiest ways to solve the greatest common divisor of 414, 384, 753 i.e 3 in different methods as follows.

How to Find GCD of Numbers 414, 384, 753 with Factoring?

Given Input numbers are 414, 384, 753

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (414, 384, 753) = 3.

Find GCD of 414, 384, 753 using Prime Factorization

Given numbers are 414, 384, 753

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 753 are 3 x 251

The highest common occurrence is 3¹

Therefore, GCD of 414, 384, 753 is 3.

Steps to Calculate GCD of 414, 384, 753 using LCM Formula

Given numbers are 414, 384, 753

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

Apply this formula for all numbers.

Step1:

LCM(414, 384) = 26496

GCD(414, 384) = ( 414 x 384 ) / 26496

= 414 / 384

= 414

Step2:

LCM(6, 753) = 1506

GCD(6, 753) = ( 6 x 753 ) / 1506

= 6 / 753

= 6

So, Greatest Common Divisor of 414, 384, 753 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 414, 384, 753

Given numbers are 414, 384, 753
The greatest common divisor of numbers 414, 384, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 384, 753 is 3.

FAQs on GCD of 414, 384, 753 Calculator

1. What is the GCD of 414, 384, 753?

GCD of given numbers 414, 384, 753 is 3

2. How to calculate the greatest common divisor of 414, 384, 753?

We can find the highest common divisor of 414, 384, 753 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 414, 384, 753 i.e 3.

3. How can I use the GCD of 414, 384, 753Calculator?

Out the numbers 414, 384, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.