Where do I get the detailed procedure to find GCD of 478, 144, 354?

You can find a detailed procedure to find GCD of 478, 144, 354 on our page.

How to find GCD of 478, 144, 354 on a calculator?

You can find the GCD of 478, 144, 354 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 478, 144, 354 Calculator

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

Online GCD Calculator is useful to find the GCD of 478, 144, 354 quickly. Get the easiest ways to solve the greatest common divisor of 478, 144, 354 i.e 2 in different methods as follows.

How to Find GCD of Numbers 478, 144, 354 with Factoring?

Given Input numbers are 478, 144, 354

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (478, 144, 354) = 2.

Find GCD of 478, 144, 354 using Prime Factorization

Given numbers are 478, 144, 354

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 478, 144, 354 is 2.

Steps to Calculate GCD of 478, 144, 354 using LCM Formula

Given numbers are 478, 144, 354

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

Apply this formula for all numbers.

Step1:

LCM(478, 144) = 34416

GCD(478, 144) = ( 478 x 144 ) / 34416

= 478 / 144

= 478

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 478, 144, 354 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 478, 144, 354

Given numbers are 478, 144, 354
The greatest common divisor of numbers 478, 144, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 144, 354 is 2.

FAQs on GCD of 478, 144, 354 Calculator

1. What is the GCD of 478, 144, 354?

GCD of given numbers 478, 144, 354 is 2

2. How to calculate the greatest common divisor of 478, 144, 354?

We can find the highest common divisor of 478, 144, 354 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 478, 144, 354 i.e 2.

3. How can I use the GCD of 478, 144, 354Calculator?

Out the numbers 478, 144, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.