GCD of 241, 171, 200, 488 Calculator

Given Input numbers are 241, 171, 200, 488

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 241, 171, 200, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 171, 200, 488 is 1.

Therefore, GCD of numbers 241, 171, 200, 488 is 1

Given Input Data is 241, 171, 200, 488

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

Prime Factorization of 241 is 241

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(241, 171) = 41211

GCD(241, 171) = ( 241 x 171 ) / 41211

GCD(241, 171) = 41211 / 41211

GCD(241, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 241, 171, 200, 488 is 1

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1. What is the GCD of 241, 171, 200, 488?

GCD of 241, 171, 200, 488 is 1

2. Where do I get the detailed procedure to find GCD of 241, 171, 200, 488?

You can find a detailed procedure to find GCD of 241, 171, 200, 488 on our page.

3. How to find GCD of 241, 171, 200, 488 on a calculator?

You can find the GCD of 241, 171, 200, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.