Where do I get the detailed procedure to find GCD of 585, 210, 993?

You can find a detailed procedure to find GCD of 585, 210, 993 on our page.

How to find GCD of 585, 210, 993 on a calculator?

You can find the GCD of 585, 210, 993 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 585, 210, 993 Calculator

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

Online GCD Calculator is useful to find the GCD of 585, 210, 993 quickly. Get the easiest ways to solve the greatest common divisor of 585, 210, 993 i.e 3 in different methods as follows.

How to Find GCD of Numbers 585, 210, 993 with Factoring?

Given Input numbers are 585, 210, 993

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (585, 210, 993) = 3.

Find GCD of 585, 210, 993 using Prime Factorization

Given numbers are 585, 210, 993

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 993 are 3 x 331

The highest common occurrence is 3¹

Therefore, GCD of 585, 210, 993 is 3.

Steps to Calculate GCD of 585, 210, 993 using LCM Formula

Given numbers are 585, 210, 993

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

Apply this formula for all numbers.

Step1:

LCM(585, 210) = 8190

GCD(585, 210) = ( 585 x 210 ) / 8190

= 585 / 210

= 585

Step2:

LCM(15, 993) = 4965

GCD(15, 993) = ( 15 x 993 ) / 4965

= 15 / 993

= 15

So, Greatest Common Divisor of 585, 210, 993 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 585, 210, 993

Given numbers are 585, 210, 993
The greatest common divisor of numbers 585, 210, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 210, 993 is 3.

FAQs on GCD of 585, 210, 993 Calculator

1. What is the GCD of 585, 210, 993?

GCD of given numbers 585, 210, 993 is 3

2. How to calculate the greatest common divisor of 585, 210, 993?

We can find the highest common divisor of 585, 210, 993 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 585, 210, 993 i.e 3.

3. How can I use the GCD of 585, 210, 993Calculator?

Out the numbers 585, 210, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.