Where do I get the detailed procedure to find GCD of 488, 480, 196?

You can find a detailed procedure to find GCD of 488, 480, 196 on our page.

How to find GCD of 488, 480, 196 on a calculator?

You can find the GCD of 488, 480, 196 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 488, 480, 196 Calculator

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

Online GCD Calculator is useful to find the GCD of 488, 480, 196 quickly. Get the easiest ways to solve the greatest common divisor of 488, 480, 196 i.e 4 in different methods as follows.

How to Find GCD of Numbers 488, 480, 196 with Factoring?

Given Input numbers are 488, 480, 196

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 196 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (488, 480, 196) = 4.

Find GCD of 488, 480, 196 using Prime Factorization

Given numbers are 488, 480, 196

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2²

Therefore, GCD of 488, 480, 196 is 4.

Steps to Calculate GCD of 488, 480, 196 using LCM Formula

Given numbers are 488, 480, 196

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

Apply this formula for all numbers.

Step1:

LCM(488, 480) = 29280

GCD(488, 480) = ( 488 x 480 ) / 29280

= 488 / 480

= 488

Step2:

LCM(8, 196) = 392

GCD(8, 196) = ( 8 x 196 ) / 392

= 8 / 196

= 8

So, Greatest Common Divisor of 488, 480, 196 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 488, 480, 196

Given numbers are 488, 480, 196
The greatest common divisor of numbers 488, 480, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 480, 196 is 4.

FAQs on GCD of 488, 480, 196 Calculator

1. What is the GCD of 488, 480, 196?

GCD of given numbers 488, 480, 196 is 4

2. How to calculate the greatest common divisor of 488, 480, 196?

We can find the highest common divisor of 488, 480, 196 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 488, 480, 196 i.e 4.

3. How can I use the GCD of 488, 480, 196Calculator?

Out the numbers 488, 480, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.