Where do I get the detailed procedure to find GCD of 660, 978, 522?

You can find a detailed procedure to find GCD of 660, 978, 522 on our page.

How to find GCD of 660, 978, 522 on a calculator?

You can find the GCD of 660, 978, 522 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, 978, 522 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, 978, 522 quickly. Get the easiest ways to solve the greatest common divisor of 660, 978, 522 i.e 6 in different methods as follows.

How to Find GCD of Numbers 660, 978, 522 with Factoring?

Given Input numbers are 660, 978, 522

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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (660, 978, 522) = 6.

Find GCD of 660, 978, 522 using Prime Factorization

Given numbers are 660, 978, 522

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 978 are 2 x 3 x 163

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 660, 978, 522 is 6.

Steps to Calculate GCD of 660, 978, 522 using LCM Formula

Given numbers are 660, 978, 522

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

Apply this formula for all numbers.

Step1:

LCM(660, 978) = 107580

GCD(660, 978) = ( 660 x 978 ) / 107580

= 660 / 978

= 660

Step2:

LCM(6, 522) = 522

GCD(6, 522) = ( 6 x 522 ) / 522

= 6 / 522

= 6

So, Greatest Common Divisor of 660, 978, 522 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 660, 978, 522

Given numbers are 660, 978, 522
The greatest common divisor of numbers 660, 978, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 978, 522 is 6.

FAQs on GCD of 660, 978, 522 Calculator

1. What is the GCD of 660, 978, 522?

GCD of given numbers 660, 978, 522 is 6

2. How to calculate the greatest common divisor of 660, 978, 522?

We can find the highest common divisor of 660, 978, 522 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, 978, 522 i.e 6.

3. How can I use the GCD of 660, 978, 522Calculator?

Out the numbers 660, 978, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.