Where do I get the detailed procedure to find GCD of 585, 171, 702?

You can find a detailed procedure to find GCD of 585, 171, 702 on our page.

How to find GCD of 585, 171, 702 on a calculator?

You can find the GCD of 585, 171, 702 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, 171, 702 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, 171, 702 quickly. Get the easiest ways to solve the greatest common divisor of 585, 171, 702 i.e 9 in different methods as follows.

How to Find GCD of Numbers 585, 171, 702 with Factoring?

Given Input numbers are 585, 171, 702

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 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (585, 171, 702) = 9.

Find GCD of 585, 171, 702 using Prime Factorization

Given numbers are 585, 171, 702

The list of prime factors of all numbers are

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

Prime factors of 171 are 3 x 3 x 19

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 3²

Therefore, GCD of 585, 171, 702 is 9.

Steps to Calculate GCD of 585, 171, 702 using LCM Formula

Given numbers are 585, 171, 702

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

Apply this formula for all numbers.

Step1:

LCM(585, 171) = 11115

GCD(585, 171) = ( 585 x 171 ) / 11115

= 585 / 171

= 585

Step2:

LCM(9, 702) = 702

GCD(9, 702) = ( 9 x 702 ) / 702

= 9 / 702

= 9

So, Greatest Common Divisor of 585, 171, 702 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 585, 171, 702

Given numbers are 585, 171, 702
The greatest common divisor of numbers 585, 171, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 171, 702 is 9.

FAQs on GCD of 585, 171, 702 Calculator

1. What is the GCD of 585, 171, 702?

GCD of given numbers 585, 171, 702 is 9

2. How to calculate the greatest common divisor of 585, 171, 702?

We can find the highest common divisor of 585, 171, 702 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, 171, 702 i.e 9.

3. How can I use the GCD of 585, 171, 702Calculator?

Out the numbers 585, 171, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.