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GCD of 189, 369, 927, 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 189, 369, 927, 477 quickly. Get the easiest ways to solve the greatest common divisor of 189, 369, 927, 477 i.e 9 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 369, 927, 477 with Factoring?

Given Input numbers are 189, 369, 927, 477

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

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 (189, 369, 927, 477) = 9.

Find GCD of 189, 369, 927, 477 using Prime Factorization

Given numbers are 189, 369, 927, 477

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 369 are 3 x 3 x 41

Prime factors of 927 are 3 x 3 x 103

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 32

Therefore, GCD of 189, 369, 927, 477 is 9.

Steps to Calculate GCD of 189, 369, 927, 477 using LCM Formula

Given numbers are 189, 369, 927, 477

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

Apply this formula for all numbers.

Step1:

LCM(189, 369) = 7749

GCD(189, 369) = ( 189 x 369 ) / 7749

= 189 / 369

= 189


Step2:

LCM(9, 927) = 927

GCD(9, 927) = ( 9 x 927 ) / 927

= 9 / 927

= 9


Step3:

LCM(9, 477) = 477

GCD(9, 477) = ( 9 x 477 ) / 477

= 9 / 477

= 9


So, Greatest Common Divisor of 189, 369, 927, 477 is 9

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 369, 927, 477

Given numbers are 189, 369, 927, 477
The greatest common divisor of numbers 189, 369, 927, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 369, 927, 477 is 9.

FAQs on GCD of 189, 369, 927, 477 Calculator

1. What is the GCD of 189, 369, 927, 477?

GCD of given numbers 189, 369, 927, 477 is 9


2. How to calculate the greatest common divisor of 189, 369, 927, 477?

We can find the highest common divisor of 189, 369, 927, 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 189, 369, 927, 477 i.e 9.


3. How can I use the GCD of 189, 369, 927, 477Calculator?

Out the numbers 189, 369, 927, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.