Where do I get the detailed procedure to find GCD of 387, 258, 573?

You can find a detailed procedure to find GCD of 387, 258, 573 on our page.

How to find GCD of 387, 258, 573 on a calculator?

You can find the GCD of 387, 258, 573 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 387, 258, 573 Calculator

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

Online GCD Calculator is useful to find the GCD of 387, 258, 573 quickly. Get the easiest ways to solve the greatest common divisor of 387, 258, 573 i.e 3 in different methods as follows.

How to Find GCD of Numbers 387, 258, 573 with Factoring?

Given Input numbers are 387, 258, 573

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

GCD of numbers is the greatest common divisor

So, the GCD (387, 258, 573) = 3.

Find GCD of 387, 258, 573 using Prime Factorization

Given numbers are 387, 258, 573

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 258 are 2 x 3 x 43

Prime factors of 573 are 3 x 191

The highest common occurrence is 3¹

Therefore, GCD of 387, 258, 573 is 3.

Steps to Calculate GCD of 387, 258, 573 using LCM Formula

Given numbers are 387, 258, 573

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

Apply this formula for all numbers.

Step1:

LCM(387, 258) = 774

GCD(387, 258) = ( 387 x 258 ) / 774

= 387 / 258

= 387

Step2:

LCM(129, 573) = 24639

GCD(129, 573) = ( 129 x 573 ) / 24639

= 129 / 573

= 129

So, Greatest Common Divisor of 387, 258, 573 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 387, 258, 573

Given numbers are 387, 258, 573
The greatest common divisor of numbers 387, 258, 573 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 258, 573 is 3.

FAQs on GCD of 387, 258, 573 Calculator

1. What is the GCD of 387, 258, 573?

GCD of given numbers 387, 258, 573 is 3

2. How to calculate the greatest common divisor of 387, 258, 573?

We can find the highest common divisor of 387, 258, 573 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 387, 258, 573 i.e 3.

3. How can I use the GCD of 387, 258, 573Calculator?

Out the numbers 387, 258, 573 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.