GCD of 578, 128, 133, 369 Calculator

Given Input numbers are 578, 128, 133, 369

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

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 578, 128, 133, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 128, 133, 369 is 1.

Therefore, GCD of numbers 578, 128, 133, 369 is 1

Given Input Data is 578, 128, 133, 369

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 133 is 7 x 19

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(578, 128) = 36992

GCD(578, 128) = ( 578 x 128 ) / 36992

GCD(578, 128) = 73984 / 36992

GCD(578, 128) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 578, 128, 133, 369 is 1

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1. What is the GCD of 578, 128, 133, 369?

GCD of 578, 128, 133, 369 is 1

2. Where do I get the detailed procedure to find GCD of 578, 128, 133, 369?

You can find a detailed procedure to find GCD of 578, 128, 133, 369 on our page.

3. How to find GCD of 578, 128, 133, 369 on a calculator?

You can find the GCD of 578, 128, 133, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.