Where do I get the detailed procedure to find GCD of 579, 144, 385?

You can find a detailed procedure to find GCD of 579, 144, 385 on our page.

How to find GCD of 579, 144, 385 on a calculator?

You can find the GCD of 579, 144, 385 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 579, 144, 385 Calculator

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

Online GCD Calculator is useful to find the GCD of 579, 144, 385 quickly. Get the easiest ways to solve the greatest common divisor of 579, 144, 385 i.e 1 in different methods as follows.

How to Find GCD of Numbers 579, 144, 385 with Factoring?

Given Input numbers are 579, 144, 385

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

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

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 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (579, 144, 385) = 1.

Find GCD of 579, 144, 385 using Prime Factorization

Given numbers are 579, 144, 385

The list of prime factors of all numbers are

Prime factors of 579 are 3 x 193

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

Prime factors of 385 are 5 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 579, 144, 385 using LCM Formula

Given numbers are 579, 144, 385

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

Apply this formula for all numbers.

Step1:

LCM(579, 144) = 27792

GCD(579, 144) = ( 579 x 144 ) / 27792

= 579 / 144

= 579

Step2:

LCM(3, 385) = 1155

GCD(3, 385) = ( 3 x 385 ) / 1155

= 3 / 385

= 3

So, Greatest Common Divisor of 579, 144, 385 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 579, 144, 385

Given numbers are 579, 144, 385
The greatest common divisor of numbers 579, 144, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 579, 144, 385 is 1.

FAQs on GCD of 579, 144, 385 Calculator

1. What is the GCD of 579, 144, 385?

GCD of given numbers 579, 144, 385 is 1

2. How to calculate the greatest common divisor of 579, 144, 385?

We can find the highest common divisor of 579, 144, 385 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 579, 144, 385 i.e 1.

3. How can I use the GCD of 579, 144, 385Calculator?

Out the numbers 579, 144, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.