Where do I get the detailed procedure to find GCD of 510, 588, 33?

You can find a detailed procedure to find GCD of 510, 588, 33 on our page.

How to find GCD of 510, 588, 33 on a calculator?

You can find the GCD of 510, 588, 33 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 510, 588, 33 Calculator

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

Online GCD Calculator is useful to find the GCD of 510, 588, 33 quickly. Get the easiest ways to solve the greatest common divisor of 510, 588, 33 i.e 3 in different methods as follows.

How to Find GCD of Numbers 510, 588, 33 with Factoring?

Given Input numbers are 510, 588, 33

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

GCD of numbers is the greatest common divisor

So, the GCD (510, 588, 33) = 3.

Find GCD of 510, 588, 33 using Prime Factorization

Given numbers are 510, 588, 33

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 33 are 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 510, 588, 33 is 3.

Steps to Calculate GCD of 510, 588, 33 using LCM Formula

Given numbers are 510, 588, 33

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

Apply this formula for all numbers.

Step1:

LCM(510, 588) = 49980

GCD(510, 588) = ( 510 x 588 ) / 49980

= 510 / 588

= 510

Step2:

LCM(6, 33) = 66

GCD(6, 33) = ( 6 x 33 ) / 66

= 6 / 33

= 6

So, Greatest Common Divisor of 510, 588, 33 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 510, 588, 33

Given numbers are 510, 588, 33
The greatest common divisor of numbers 510, 588, 33 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 588, 33 is 3.

FAQs on GCD of 510, 588, 33 Calculator

1. What is the GCD of 510, 588, 33?

GCD of given numbers 510, 588, 33 is 3

2. How to calculate the greatest common divisor of 510, 588, 33?

We can find the highest common divisor of 510, 588, 33 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 510, 588, 33 i.e 3.

3. How can I use the GCD of 510, 588, 33Calculator?

Out the numbers 510, 588, 33 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.