GCD of 578, 135, 584, 189 Calculator

Given Input numbers are 578, 135, 584, 189

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 578, 135, 584, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 135, 584, 189 is 1.

Therefore, GCD of numbers 578, 135, 584, 189 is 1

Given Input Data is 578, 135, 584, 189

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 135) = 78030

GCD(578, 135) = ( 578 x 135 ) / 78030

GCD(578, 135) = 78030 / 78030

GCD(578, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 578, 135, 584, 189 is 1

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1. What is the GCD of 578, 135, 584, 189?

GCD of 578, 135, 584, 189 is 1

2. Where do I get the detailed procedure to find GCD of 578, 135, 584, 189?

You can find a detailed procedure to find GCD of 578, 135, 584, 189 on our page.

3. How to find GCD of 578, 135, 584, 189 on a calculator?

You can find the GCD of 578, 135, 584, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.