GCD of 242, 253, 44, 107 Calculator

Given Input numbers are 242, 253, 44, 107

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 242, 253, 44, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 253, 44, 107 is 1.

Therefore, GCD of numbers 242, 253, 44, 107 is 1

Given Input Data is 242, 253, 44, 107

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 253 is 11 x 23

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 107 is 107

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(242, 253) = 5566

GCD(242, 253) = ( 242 x 253 ) / 5566

GCD(242, 253) = 61226 / 5566

GCD(242, 253) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 44

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

LCM(11, 44) = 44

GCD(11, 44) = ( 11 x 44 ) / 44

GCD(11, 44) = 484 / 44

GCD(11, 44) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 107

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

LCM(11, 107) = 1177

GCD(11, 107) = ( 11 x 107 ) / 1177

GCD(11, 107) = 1177 / 1177

GCD(11, 107) = 1

GCD of 242, 253, 44, 107 is 1

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1. What is the GCD of 242, 253, 44, 107?

GCD of 242, 253, 44, 107 is 1

2. Where do I get the detailed procedure to find GCD of 242, 253, 44, 107?

You can find a detailed procedure to find GCD of 242, 253, 44, 107 on our page.

3. How to find GCD of 242, 253, 44, 107 on a calculator?

You can find the GCD of 242, 253, 44, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.