Where do I get the detailed procedure to find GCD of 648, 314, 508?

You can find a detailed procedure to find GCD of 648, 314, 508 on our page.

How to find GCD of 648, 314, 508 on a calculator?

You can find the GCD of 648, 314, 508 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 648, 314, 508 Calculator

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

Online GCD Calculator is useful to find the GCD of 648, 314, 508 quickly. Get the easiest ways to solve the greatest common divisor of 648, 314, 508 i.e 2 in different methods as follows.

How to Find GCD of Numbers 648, 314, 508 with Factoring?

Given Input numbers are 648, 314, 508

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (648, 314, 508) = 2.

Find GCD of 648, 314, 508 using Prime Factorization

Given numbers are 648, 314, 508

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 648, 314, 508 is 2.

Steps to Calculate GCD of 648, 314, 508 using LCM Formula

Given numbers are 648, 314, 508

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

Apply this formula for all numbers.

Step1:

LCM(648, 314) = 101736

GCD(648, 314) = ( 648 x 314 ) / 101736

= 648 / 314

= 648

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 648, 314, 508 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 648, 314, 508

Given numbers are 648, 314, 508
The greatest common divisor of numbers 648, 314, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 314, 508 is 2.

FAQs on GCD of 648, 314, 508 Calculator

1. What is the GCD of 648, 314, 508?

GCD of given numbers 648, 314, 508 is 2

2. How to calculate the greatest common divisor of 648, 314, 508?

We can find the highest common divisor of 648, 314, 508 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 648, 314, 508 i.e 2.

3. How can I use the GCD of 648, 314, 508Calculator?

Out the numbers 648, 314, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.