GCD of 111, 650, 53, 272 Calculator

Given Input numbers are 111, 650, 53, 272

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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

Greatest Common Divisior

We found the divisors of 111, 650, 53, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 650, 53, 272 is 1.

Therefore, GCD of numbers 111, 650, 53, 272 is 1

Given Input Data is 111, 650, 53, 272

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 53 is 53

Prime Factorization of 272 is 2 x 2 x 2 x 2 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(111, 650) = 72150

GCD(111, 650) = ( 111 x 650 ) / 72150

GCD(111, 650) = 72150 / 72150

GCD(111, 650) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 111, 650, 53, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 709, 85, 790
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• GCD of 219, 239, 25, 779
• GCD of 285, 348, 11, 378

1. What is the GCD of 111, 650, 53, 272?

GCD of 111, 650, 53, 272 is 1

2. Where do I get the detailed procedure to find GCD of 111, 650, 53, 272?

You can find a detailed procedure to find GCD of 111, 650, 53, 272 on our page.

3. How to find GCD of 111, 650, 53, 272 on a calculator?

You can find the GCD of 111, 650, 53, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.