Where do I get the detailed procedure to find GCD of 164, 196, 648?

You can find a detailed procedure to find GCD of 164, 196, 648 on our page.

How to find GCD of 164, 196, 648 on a calculator?

You can find the GCD of 164, 196, 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 164, 196, 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 164, 196, 648 quickly. Get the easiest ways to solve the greatest common divisor of 164, 196, 648 i.e 4 in different methods as follows.

How to Find GCD of Numbers 164, 196, 648 with Factoring?

Given Input numbers are 164, 196, 648

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 (164, 196, 648) = 4.

Find GCD of 164, 196, 648 using Prime Factorization

Given numbers are 164, 196, 648

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 196 are 2 x 2 x 7 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 164, 196, 648 is 4.

Steps to Calculate GCD of 164, 196, 648 using LCM Formula

Given numbers are 164, 196, 648

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

Apply this formula for all numbers.

Step1:

LCM(164, 196) = 8036

GCD(164, 196) = ( 164 x 196 ) / 8036

= 164 / 196

= 164

Step2:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

So, Greatest Common Divisor of 164, 196, 648 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 164, 196, 648

Given numbers are 164, 196, 648
The greatest common divisor of numbers 164, 196, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 196, 648 is 4.

FAQs on GCD of 164, 196, 648 Calculator

1. What is the GCD of 164, 196, 648?

GCD of given numbers 164, 196, 648 is 4

2. How to calculate the greatest common divisor of 164, 196, 648?

We can find the highest common divisor of 164, 196, 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 164, 196, 648 i.e 4.

3. How can I use the GCD of 164, 196, 648Calculator?

Out the numbers 164, 196, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.