GCD of 187, 272, 22, 240 Calculator

Given Input numbers are 187, 272, 22, 240

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 187, 272, 22, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 272, 22, 240 is 1.

Therefore, GCD of numbers 187, 272, 22, 240 is 1

Given Input Data is 187, 272, 22, 240

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 22 is 2 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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(187, 272) = 2992

GCD(187, 272) = ( 187 x 272 ) / 2992

GCD(187, 272) = 50864 / 2992

GCD(187, 272) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 22

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

LCM(17, 22) = 374

GCD(17, 22) = ( 17 x 22 ) / 374

GCD(17, 22) = 374 / 374

GCD(17, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 187, 272, 22, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 581, 88, 372
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• GCD of 229, 905, 35, 215

1. What is the GCD of 187, 272, 22, 240?

GCD of 187, 272, 22, 240 is 1

2. Where do I get the detailed procedure to find GCD of 187, 272, 22, 240?

You can find a detailed procedure to find GCD of 187, 272, 22, 240 on our page.

3. How to find GCD of 187, 272, 22, 240 on a calculator?

You can find the GCD of 187, 272, 22, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.