GCD of 501, 363, 548, 188 Calculator

Given Input numbers are 501, 363, 548, 188

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 501, 363, 548, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 363, 548, 188 is 1.

Therefore, GCD of numbers 501, 363, 548, 188 is 1

Given Input Data is 501, 363, 548, 188

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 188 is 2 x 2 x 47

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(501, 363) = 60621

GCD(501, 363) = ( 501 x 363 ) / 60621

GCD(501, 363) = 181863 / 60621

GCD(501, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 548

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

LCM(3, 548) = 1644

GCD(3, 548) = ( 3 x 548 ) / 1644

GCD(3, 548) = 1644 / 1644

GCD(3, 548) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 501, 363, 548, 188 is 1

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1. What is the GCD of 501, 363, 548, 188?

GCD of 501, 363, 548, 188 is 1

2. Where do I get the detailed procedure to find GCD of 501, 363, 548, 188?

You can find a detailed procedure to find GCD of 501, 363, 548, 188 on our page.

3. How to find GCD of 501, 363, 548, 188 on a calculator?

You can find the GCD of 501, 363, 548, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.