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GCD of 477, 909, 528, 381 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, 909, 528, 381 quickly. Get the easiest ways to solve the greatest common divisor of 477, 909, 528, 381 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 477, 909, 528, 381 with Factoring?

Given Input numbers are 477, 909, 528, 381

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381


GCD of numbers is the greatest common divisor

So, the GCD (477, 909, 528, 381) = 3.

Find GCD of 477, 909, 528, 381 using Prime Factorization

Given numbers are 477, 909, 528, 381

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 909 are 3 x 3 x 101

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 381 are 3 x 127

The highest common occurrence is 31

Therefore, GCD of 477, 909, 528, 381 is 3.

Steps to Calculate GCD of 477, 909, 528, 381 using LCM Formula

Given numbers are 477, 909, 528, 381

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

Apply this formula for all numbers.

Step1:

LCM(477, 909) = 48177

GCD(477, 909) = ( 477 x 909 ) / 48177

= 477 / 909

= 477


Step2:

LCM(9, 528) = 1584

GCD(9, 528) = ( 9 x 528 ) / 1584

= 9 / 528

= 9


Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3


So, Greatest Common Divisor of 477, 909, 528, 381 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 477, 909, 528, 381

Given numbers are 477, 909, 528, 381
The greatest common divisor of numbers 477, 909, 528, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 909, 528, 381 is 3.

FAQs on GCD of 477, 909, 528, 381 Calculator

1. What is the GCD of 477, 909, 528, 381?

GCD of given numbers 477, 909, 528, 381 is 3


2. How to calculate the greatest common divisor of 477, 909, 528, 381?

We can find the highest common divisor of 477, 909, 528, 381 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, 909, 528, 381 i.e 3.


3. How can I use the GCD of 477, 909, 528, 381Calculator?

Out the numbers 477, 909, 528, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.