LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 477, 663, 489, 912 Calculator

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


Online GCD Calculator is useful to find the GCD of 477, 663, 489, 912 quickly. Get the easiest ways to solve the greatest common divisor of 477, 663, 489, 912 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 477, 663, 489, 912 with Factoring?

Given Input numbers are 477, 663, 489, 912

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912


GCD of numbers is the greatest common divisor

So, the GCD (477, 663, 489, 912) = 3.

Find GCD of 477, 663, 489, 912 using Prime Factorization

Given numbers are 477, 663, 489, 912

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 663 are 3 x 13 x 17

Prime factors of 489 are 3 x 163

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 31

Therefore, GCD of 477, 663, 489, 912 is 3.

Steps to Calculate GCD of 477, 663, 489, 912 using LCM Formula

Given numbers are 477, 663, 489, 912

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

Apply this formula for all numbers.

Step1:

LCM(477, 663) = 105417

GCD(477, 663) = ( 477 x 663 ) / 105417

= 477 / 663

= 477


Step2:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3


Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3


So, Greatest Common Divisor of 477, 663, 489, 912 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 477, 663, 489, 912

Given numbers are 477, 663, 489, 912
The greatest common divisor of numbers 477, 663, 489, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 663, 489, 912 is 3.

FAQs on GCD of 477, 663, 489, 912 Calculator

1. What is the GCD of 477, 663, 489, 912?

GCD of given numbers 477, 663, 489, 912 is 3


2. How to calculate the greatest common divisor of 477, 663, 489, 912?

We can find the highest common divisor of 477, 663, 489, 912 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 477, 663, 489, 912 i.e 3.


3. How can I use the GCD of 477, 663, 489, 912Calculator?

Out the numbers 477, 663, 489, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.