GCD of 578, 271, 500, 144 Calculator

Given Input numbers are 578, 271, 500, 144

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 578, 271, 500, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 271, 500, 144 is 1.

Therefore, GCD of numbers 578, 271, 500, 144 is 1

Given Input Data is 578, 271, 500, 144

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 271 is 271

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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, 271) = 156638

GCD(578, 271) = ( 578 x 271 ) / 156638

GCD(578, 271) = 156638 / 156638

GCD(578, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 578, 271, 500, 144 is 1

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1. What is the GCD of 578, 271, 500, 144?

GCD of 578, 271, 500, 144 is 1

2. Where do I get the detailed procedure to find GCD of 578, 271, 500, 144?

You can find a detailed procedure to find GCD of 578, 271, 500, 144 on our page.

3. How to find GCD of 578, 271, 500, 144 on a calculator?

You can find the GCD of 578, 271, 500, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.