Where do I get the detailed procedure to find GCD of 351, 567, 846?

You can find a detailed procedure to find GCD of 351, 567, 846 on our page.

How to find GCD of 351, 567, 846 on a calculator?

You can find the GCD of 351, 567, 846 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 351, 567, 846 Calculator

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

Online GCD Calculator is useful to find the GCD of 351, 567, 846 quickly. Get the easiest ways to solve the greatest common divisor of 351, 567, 846 i.e 9 in different methods as follows.

How to Find GCD of Numbers 351, 567, 846 with Factoring?

Given Input numbers are 351, 567, 846

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

Divisors of 351 :

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

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (351, 567, 846) = 9.

Find GCD of 351, 567, 846 using Prime Factorization

Given numbers are 351, 567, 846

The list of prime factors of all numbers are

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

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 3²

Therefore, GCD of 351, 567, 846 is 9.

Steps to Calculate GCD of 351, 567, 846 using LCM Formula

Given numbers are 351, 567, 846

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

Apply this formula for all numbers.

Step1:

LCM(351, 567) = 7371

GCD(351, 567) = ( 351 x 567 ) / 7371

= 351 / 567

= 351

Step2:

LCM(27, 846) = 2538

GCD(27, 846) = ( 27 x 846 ) / 2538

= 27 / 846

= 27

So, Greatest Common Divisor of 351, 567, 846 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 351, 567, 846

Given numbers are 351, 567, 846
The greatest common divisor of numbers 351, 567, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 567, 846 is 9.

FAQs on GCD of 351, 567, 846 Calculator

1. What is the GCD of 351, 567, 846?

GCD of given numbers 351, 567, 846 is 9

2. How to calculate the greatest common divisor of 351, 567, 846?

We can find the highest common divisor of 351, 567, 846 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 351, 567, 846 i.e 9.

3. How can I use the GCD of 351, 567, 846Calculator?

Out the numbers 351, 567, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.