Where do I get the detailed procedure to find GCD of 660, 636, 588?

You can find a detailed procedure to find GCD of 660, 636, 588 on our page.

How to find GCD of 660, 636, 588 on a calculator?

You can find the GCD of 660, 636, 588 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 660, 636, 588 Calculator

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

Online GCD Calculator is useful to find the GCD of 660, 636, 588 quickly. Get the easiest ways to solve the greatest common divisor of 660, 636, 588 i.e 12 in different methods as follows.

How to Find GCD of Numbers 660, 636, 588 with Factoring?

Given Input numbers are 660, 636, 588

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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

GCD of numbers is the greatest common divisor

So, the GCD (660, 636, 588) = 12.

Find GCD of 660, 636, 588 using Prime Factorization

Given numbers are 660, 636, 588

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 636 are 2 x 2 x 3 x 53

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

The highest common occurrence is 2² x 3¹

Therefore, GCD of 660, 636, 588 is 12.

Steps to Calculate GCD of 660, 636, 588 using LCM Formula

Given numbers are 660, 636, 588

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

Apply this formula for all numbers.

Step1:

LCM(660, 636) = 34980

GCD(660, 636) = ( 660 x 636 ) / 34980

= 660 / 636

= 660

Step2:

LCM(12, 588) = 588

GCD(12, 588) = ( 12 x 588 ) / 588

= 12 / 588

= 12

So, Greatest Common Divisor of 660, 636, 588 is 12

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 660, 636, 588

Given numbers are 660, 636, 588
The greatest common divisor of numbers 660, 636, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 636, 588 is 12.

FAQs on GCD of 660, 636, 588 Calculator

1. What is the GCD of 660, 636, 588?

GCD of given numbers 660, 636, 588 is 12

2. How to calculate the greatest common divisor of 660, 636, 588?

We can find the highest common divisor of 660, 636, 588 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 660, 636, 588 i.e 12.

3. How can I use the GCD of 660, 636, 588Calculator?

Out the numbers 660, 636, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.