GCD of 576, 123, 177, 231 Calculator

Given Input numbers are 576, 123, 177, 231

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 576, 123, 177, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 123, 177, 231 is 3.

Therefore, GCD of numbers 576, 123, 177, 231 is 3

Given Input Data is 576, 123, 177, 231

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 123 is 3 x 41

Prime Factorization of 177 is 3 x 59

Prime Factorization of 231 is 3 x 7 x 11

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(576, 123) = 23616

GCD(576, 123) = ( 576 x 123 ) / 23616

GCD(576, 123) = 70848 / 23616

GCD(576, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 177

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

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

GCD(3, 177) = 531 / 177

GCD(3, 177) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 231

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

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

GCD(3, 231) = 693 / 231

GCD(3, 231) = 3

GCD of 576, 123, 177, 231 is 3

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1. What is the GCD of 576, 123, 177, 231?

GCD of 576, 123, 177, 231 is 3

2. Where do I get the detailed procedure to find GCD of 576, 123, 177, 231?

You can find a detailed procedure to find GCD of 576, 123, 177, 231 on our page.

3. How to find GCD of 576, 123, 177, 231 on a calculator?

You can find the GCD of 576, 123, 177, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.