GCD of 488, 271, 41, 600 Calculator

Given Input numbers are 488, 271, 41, 600

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

Divisors of 488

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

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

Divisors of 271

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

1, 271

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 488, 271, 41, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 271, 41, 600 is 1.

Therefore, GCD of numbers 488, 271, 41, 600 is 1

Given Input Data is 488, 271, 41, 600

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

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

Prime Factorization of 271 is 271

Prime Factorization of 41 is 41

Prime Factorization of 600 is 2 x 2 x 2 x 3 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(488, 271) = 132248

GCD(488, 271) = ( 488 x 271 ) / 132248

GCD(488, 271) = 132248 / 132248

GCD(488, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 488, 271, 41, 600 is 1

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• GCD of 176, 511, 36, 981
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1. What is the GCD of 488, 271, 41, 600?

GCD of 488, 271, 41, 600 is 1

2. Where do I get the detailed procedure to find GCD of 488, 271, 41, 600?

You can find a detailed procedure to find GCD of 488, 271, 41, 600 on our page.

3. How to find GCD of 488, 271, 41, 600 on a calculator?

You can find the GCD of 488, 271, 41, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.