GCD of 147, 666, 486, 390 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 147, 666, 486, 390 i.e. 3 largest integer that divides all the numbers equally.

GCD of 147, 666, 486, 390 is 3

GCD(147, 666, 486, 390) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 147, 666, 486, 390 is 3

GCD(147, 666, 486, 390) = 3

GCD of 147,666,486,390 Calculator

GCDof 147,666,486,390 is 3

Given Input numbers are 147, 666, 486, 390

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 147, 666, 486, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 666, 486, 390 is 3.

Therefore, GCD of numbers 147, 666, 486, 390 is 3

Finding GCD of 147, 666, 486, 390 using Prime Factorization

Given Input Data is 147, 666, 486, 390

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 147, 666, 486, 390 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(147, 666) = 32634

GCD(147, 666) = ( 147 x 666 ) / 32634

GCD(147, 666) = 97902 / 32634

GCD(147, 666) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 486

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

LCM(3, 486) = 486

GCD(3, 486) = ( 3 x 486 ) / 486

GCD(3, 486) = 1458 / 486

GCD(3, 486) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 390

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

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

GCD(3, 390) = 1170 / 390

GCD(3, 390) = 3

GCD of 147, 666, 486, 390 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 147, 666, 486, 390

1. What is the GCD of 147, 666, 486, 390?

GCD of 147, 666, 486, 390 is 3


2. Where do I get the detailed procedure to find GCD of 147, 666, 486, 390?

You can find a detailed procedure to find GCD of 147, 666, 486, 390 on our page.


3. How to find GCD of 147, 666, 486, 390 on a calculator?

You can find the GCD of 147, 666, 486, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.