GCD of 187, 575, 978, 500 Calculator

Given Input numbers are 187, 575, 978, 500

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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

Greatest Common Divisior

We found the divisors of 187, 575, 978, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 575, 978, 500 is 1.

Therefore, GCD of numbers 187, 575, 978, 500 is 1

Given Input Data is 187, 575, 978, 500

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 978 is 2 x 3 x 163

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

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(187, 575) = 107525

GCD(187, 575) = ( 187 x 575 ) / 107525

GCD(187, 575) = 107525 / 107525

GCD(187, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

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

GCD of 187, 575, 978, 500 is 1

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1. What is the GCD of 187, 575, 978, 500?

GCD of 187, 575, 978, 500 is 1

2. Where do I get the detailed procedure to find GCD of 187, 575, 978, 500?

You can find a detailed procedure to find GCD of 187, 575, 978, 500 on our page.

3. How to find GCD of 187, 575, 978, 500 on a calculator?

You can find the GCD of 187, 575, 978, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.