Where do I get the detailed procedure to find GCD of 105, 204, 561?

You can find a detailed procedure to find GCD of 105, 204, 561 on our page.

How to find GCD of 105, 204, 561 on a calculator?

You can find the GCD of 105, 204, 561 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 105, 204, 561 Calculator

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

Online GCD Calculator is useful to find the GCD of 105, 204, 561 quickly. Get the easiest ways to solve the greatest common divisor of 105, 204, 561 i.e 3 in different methods as follows.

How to Find GCD of Numbers 105, 204, 561 with Factoring?

Given Input numbers are 105, 204, 561

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (105, 204, 561) = 3.

Find GCD of 105, 204, 561 using Prime Factorization

Given numbers are 105, 204, 561

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 105, 204, 561 is 3.

Steps to Calculate GCD of 105, 204, 561 using LCM Formula

Given numbers are 105, 204, 561

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

Apply this formula for all numbers.

Step1:

LCM(105, 204) = 7140

GCD(105, 204) = ( 105 x 204 ) / 7140

= 105 / 204

= 105

Step2:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 105, 204, 561 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 105, 204, 561

Given numbers are 105, 204, 561
The greatest common divisor of numbers 105, 204, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 204, 561 is 3.

FAQs on GCD of 105, 204, 561 Calculator

1. What is the GCD of 105, 204, 561?

GCD of given numbers 105, 204, 561 is 3

2. How to calculate the greatest common divisor of 105, 204, 561?

We can find the highest common divisor of 105, 204, 561 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 105, 204, 561 i.e 3.

3. How can I use the GCD of 105, 204, 561Calculator?

Out the numbers 105, 204, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.