Where do I get the detailed procedure to find GCD of 426, 264, 648?

You can find a detailed procedure to find GCD of 426, 264, 648 on our page.

How to find GCD of 426, 264, 648 on a calculator?

You can find the GCD of 426, 264, 648 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 426, 264, 648 Calculator

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

Online GCD Calculator is useful to find the GCD of 426, 264, 648 quickly. Get the easiest ways to solve the greatest common divisor of 426, 264, 648 i.e 6 in different methods as follows.

How to Find GCD of Numbers 426, 264, 648 with Factoring?

Given Input numbers are 426, 264, 648

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (426, 264, 648) = 6.

Find GCD of 426, 264, 648 using Prime Factorization

Given numbers are 426, 264, 648

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 426, 264, 648 is 6.

Steps to Calculate GCD of 426, 264, 648 using LCM Formula

Given numbers are 426, 264, 648

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

Apply this formula for all numbers.

Step1:

LCM(426, 264) = 18744

GCD(426, 264) = ( 426 x 264 ) / 18744

= 426 / 264

= 426

Step2:

LCM(6, 648) = 648

GCD(6, 648) = ( 6 x 648 ) / 648

= 6 / 648

= 6

So, Greatest Common Divisor of 426, 264, 648 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 426, 264, 648

Given numbers are 426, 264, 648
The greatest common divisor of numbers 426, 264, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 264, 648 is 6.

FAQs on GCD of 426, 264, 648 Calculator

1. What is the GCD of 426, 264, 648?

GCD of given numbers 426, 264, 648 is 6

2. How to calculate the greatest common divisor of 426, 264, 648?

We can find the highest common divisor of 426, 264, 648 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 426, 264, 648 i.e 6.

3. How can I use the GCD of 426, 264, 648Calculator?

Out the numbers 426, 264, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.