Where do I get the detailed procedure to find GCD of 582, 705, 351?

You can find a detailed procedure to find GCD of 582, 705, 351 on our page.

How to find GCD of 582, 705, 351 on a calculator?

You can find the GCD of 582, 705, 351 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 582, 705, 351 Calculator

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

Online GCD Calculator is useful to find the GCD of 582, 705, 351 quickly. Get the easiest ways to solve the greatest common divisor of 582, 705, 351 i.e 3 in different methods as follows.

How to Find GCD of Numbers 582, 705, 351 with Factoring?

Given Input numbers are 582, 705, 351

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (582, 705, 351) = 3.

Find GCD of 582, 705, 351 using Prime Factorization

Given numbers are 582, 705, 351

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 705 are 3 x 5 x 47

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 582, 705, 351 is 3.

Steps to Calculate GCD of 582, 705, 351 using LCM Formula

Given numbers are 582, 705, 351

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

Apply this formula for all numbers.

Step1:

LCM(582, 705) = 136770

GCD(582, 705) = ( 582 x 705 ) / 136770

= 582 / 705

= 582

Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 582, 705, 351 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 582, 705, 351

Given numbers are 582, 705, 351
The greatest common divisor of numbers 582, 705, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 705, 351 is 3.

FAQs on GCD of 582, 705, 351 Calculator

1. What is the GCD of 582, 705, 351?

GCD of given numbers 582, 705, 351 is 3

2. How to calculate the greatest common divisor of 582, 705, 351?

We can find the highest common divisor of 582, 705, 351 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 582, 705, 351 i.e 3.

3. How can I use the GCD of 582, 705, 351Calculator?

Out the numbers 582, 705, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.