GCD of 576, 136, 369 Calculator

Given Input numbers are 576, 136, 369

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 576, 136, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 136, 369 is 1.

Therefore, GCD of numbers 576, 136, 369 is 1

Given Input Data is 576, 136, 369

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 136 is 2 x 2 x 2 x 17

Prime Factorization of 369 is 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

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, 136) = 9792

GCD(576, 136) = ( 576 x 136 ) / 9792

GCD(576, 136) = 78336 / 9792

GCD(576, 136) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 369

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

LCM(8, 369) = 2952

GCD(8, 369) = ( 8 x 369 ) / 2952

GCD(8, 369) = 2952 / 2952

GCD(8, 369) = 1

GCD of 576, 136, 369 is 1

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• GCD of 699, 595, 500
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1. What is the GCD of 576, 136, 369?

GCD of 576, 136, 369 is 1

2. Where do I get the detailed procedure to find GCD of 576, 136, 369?

You can find a detailed procedure to find GCD of 576, 136, 369 on our page.

3. How to find GCD of 576, 136, 369 on a calculator?

You can find the GCD of 576, 136, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.