GCD of 174, 657, 54, 500 Calculator

Given Input numbers are 174, 657, 54, 500

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 174, 657, 54, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 657, 54, 500 is 1.

Therefore, GCD of numbers 174, 657, 54, 500 is 1

Given Input Data is 174, 657, 54, 500

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(174, 657) = 38106

GCD(174, 657) = ( 174 x 657 ) / 38106

GCD(174, 657) = 114318 / 38106

GCD(174, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 500

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

LCM(3, 500) = 1500

GCD(3, 500) = ( 3 x 500 ) / 1500

GCD(3, 500) = 1500 / 1500

GCD(3, 500) = 1

GCD of 174, 657, 54, 500 is 1

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1. What is the GCD of 174, 657, 54, 500?

GCD of 174, 657, 54, 500 is 1

2. Where do I get the detailed procedure to find GCD of 174, 657, 54, 500?

You can find a detailed procedure to find GCD of 174, 657, 54, 500 on our page.

3. How to find GCD of 174, 657, 54, 500 on a calculator?

You can find the GCD of 174, 657, 54, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.