GCD of 288, 100, 271, 935 Calculator

Given Input numbers are 288, 100, 271, 935

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 271

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

1, 271

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 288, 100, 271, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 100, 271, 935 is 1.

Therefore, GCD of numbers 288, 100, 271, 935 is 1

Given Input Data is 288, 100, 271, 935

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 271 is 271

Prime Factorization of 935 is 5 x 11 x 17

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(288, 100) = 7200

GCD(288, 100) = ( 288 x 100 ) / 7200

GCD(288, 100) = 28800 / 7200

GCD(288, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 271

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

LCM(4, 271) = 1084

GCD(4, 271) = ( 4 x 271 ) / 1084

GCD(4, 271) = 1084 / 1084

GCD(4, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 935

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

LCM(1, 935) = 935

GCD(1, 935) = ( 1 x 935 ) / 935

GCD(1, 935) = 935 / 935

GCD(1, 935) = 1

GCD of 288, 100, 271, 935 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 308, 280, 887
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• GCD of 129, 433, 411, 487

1. What is the GCD of 288, 100, 271, 935?

GCD of 288, 100, 271, 935 is 1

2. Where do I get the detailed procedure to find GCD of 288, 100, 271, 935?

You can find a detailed procedure to find GCD of 288, 100, 271, 935 on our page.

3. How to find GCD of 288, 100, 271, 935 on a calculator?

You can find the GCD of 288, 100, 271, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.