GCD of 477, 576, 912, 423 Calculator

Given Input numbers are 477, 576, 912, 423

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (477, 576, 912, 423) = 3.

Given numbers are 477, 576, 912, 423

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 477, 576, 912, 423 is 3.

Given numbers are 477, 576, 912, 423

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

Apply this formula for all numbers.

Step1:

LCM(477, 576) = 30528

GCD(477, 576) = ( 477 x 576 ) / 30528

= 477 / 576

= 477

Step2:

LCM(9, 912) = 2736

GCD(9, 912) = ( 9 x 912 ) / 2736

= 9 / 912

= 9

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 477, 576, 912, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 491, 239, 191
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• GCD of 475, 205, 615, 191

Given numbers are 477, 576, 912, 423
The greatest common divisor of numbers 477, 576, 912, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 576, 912, 423 is 3.

1. What is the GCD of 477, 576, 912, 423?

GCD of given numbers 477, 576, 912, 423 is 3

2. How to calculate the greatest common divisor of 477, 576, 912, 423?

We can find the highest common divisor of 477, 576, 912, 423 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, 576, 912, 423 i.e 3.

3. How can I use the GCD of 477, 576, 912, 423Calculator?

Out the numbers 477, 576, 912, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.