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GCD of 669, 360, 477 Calculator

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


Online GCD Calculator is useful to find the GCD of 669, 360, 477 quickly. Get the easiest ways to solve the greatest common divisor of 669, 360, 477 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 669, 360, 477 with Factoring?

Given Input numbers are 669, 360, 477

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 477 :

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

1, 3, 9, 53, 159, 477


GCD of numbers is the greatest common divisor

So, the GCD (669, 360, 477) = 3.

Find GCD of 669, 360, 477 using Prime Factorization

Given numbers are 669, 360, 477

The list of prime factors of all numbers are

Prime factors of 669 are 3 x 223

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 31

Therefore, GCD of 669, 360, 477 is 3.

Steps to Calculate GCD of 669, 360, 477 using LCM Formula

Given numbers are 669, 360, 477

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

Apply this formula for all numbers.

Step1:

LCM(669, 360) = 80280

GCD(669, 360) = ( 669 x 360 ) / 80280

= 669 / 360

= 669


Step2:

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

= 3 / 477

= 3


So, Greatest Common Divisor of 669, 360, 477 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 669, 360, 477

Given numbers are 669, 360, 477
The greatest common divisor of numbers 669, 360, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 360, 477 is 3.

FAQs on GCD of 669, 360, 477 Calculator

1. What is the GCD of 669, 360, 477?

GCD of given numbers 669, 360, 477 is 3


2. How to calculate the greatest common divisor of 669, 360, 477?

We can find the highest common divisor of 669, 360, 477 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 669, 360, 477 i.e 3.


3. How can I use the GCD of 669, 360, 477Calculator?

Out the numbers 669, 360, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.