GCD of 477, 207, 423, 192 Calculator

Given Input numbers are 477, 207, 423, 192

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 477, 207, 423, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 207, 423, 192 is 3.

Therefore, GCD of numbers 477, 207, 423, 192 is 3

Given Input Data is 477, 207, 423, 192

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(477, 207) = 10971

GCD(477, 207) = ( 477 x 207 ) / 10971

GCD(477, 207) = 98739 / 10971

GCD(477, 207) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 423

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

LCM(9, 423) = 423

GCD(9, 423) = ( 9 x 423 ) / 423

GCD(9, 423) = 3807 / 423

GCD(9, 423) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 192

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

LCM(9, 192) = 576

GCD(9, 192) = ( 9 x 192 ) / 576

GCD(9, 192) = 1728 / 576

GCD(9, 192) = 3

GCD of 477, 207, 423, 192 is 3

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1. What is the GCD of 477, 207, 423, 192?

GCD of 477, 207, 423, 192 is 3

2. Where do I get the detailed procedure to find GCD of 477, 207, 423, 192?

You can find a detailed procedure to find GCD of 477, 207, 423, 192 on our page.

3. How to find GCD of 477, 207, 423, 192 on a calculator?

You can find the GCD of 477, 207, 423, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.